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Published 36 international journals and 2 text books and 2 monographies. Received young faculty award by education expo tv, delhi.<br /><b>Address: </b>India<br /><div class="js-profile-less-about u-linkUnstyled u-tcGrayDarker u-textDecorationUnderline u-displayNone">less</div></div></div><div class="suggested-academics-container"><div class="suggested-academics--header"><p class="ds2-5-body-md-bold">Related Authors</p></div><ul class="suggested-user-card-list"><div class="suggested-user-card"><div class="suggested-user-card__avatar social-profile-avatar-container"><a href="https://oxford.academia.edu/BenHambly"><img class="profile-avatar u-positionAbsolute" alt="Ben Hambly" border="0" onerror="if (this.src != '//a.academia-assets.com/images/s200_no_pic.png') this.src = '//a.academia-assets.com/images/s200_no_pic.png';" width="200" height="200" src="https://0.academia-photos.com/1494/656/770/s200_ben.hambly.jpg" /></a></div><div class="suggested-user-card__user-info"><a class="suggested-user-card__user-info__header ds2-5-body-sm-bold ds2-5-body-link" href="https://oxford.academia.edu/BenHambly">Ben Hambly</a><p class="suggested-user-card__user-info__subheader ds2-5-body-xs">University of Oxford</p></div></div><div class="suggested-user-card"><div class="suggested-user-card__avatar social-profile-avatar-container"><a href="https://williams.academia.edu/StevenJMiller"><img class="profile-avatar u-positionAbsolute" alt="Steven J. 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class="external-links-container"><ul class="profile-links new-profile js-UserInfo-social"><li class="profile-profiles js-social-profiles-container"><i class="fa fa-spin fa-spinner"></i></li></ul></div></div></div><div class="right-panel-container"><div class="user-content-wrapper"><div class="uploads-container" id="social-redesign-work-container"><div class="upload-header"><h2 class="ds2-5-heading-sans-serif-xs">Uploads</h2></div><div class="documents-container backbone-social-profile-documents" style="width: 100%;"><div class="u-taCenter"></div><div class="profile--tab_content_container js-tab-pane tab-pane active" id="all"><div class="profile--tab_heading_container js-section-heading" data-section="Papers" id="Papers"><h3 class="profile--tab_heading_container">Papers by Dr. Padma Prithivirajan</h3></div><div class="js-work-strip profile--work_container" data-work-id="110403443"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/110403443/B_Nearly_Compact_Spaces"><img alt="Research paper thumbnail of B - Nearly Compact Spaces" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/110403443/B_Nearly_Compact_Spaces">B - Nearly Compact Spaces</a></div><div class="wp-workCard_item"><span>Journal of Global Research in Mathematical</span><span>, 2014</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The main focus of this paper is to introduce the B - nearly compact spaces and study its properti...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The main focus of this paper is to introduce the B - nearly compact spaces and study its properties. Keywords: B - nearly compact spaces</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="110403443"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="110403443"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 110403443; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=110403443]").text(description); $(".js-view-count[data-work-id=110403443]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 110403443; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='110403443']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=110403443]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":110403443,"title":"B - Nearly Compact Spaces","internal_url":"https://www.academia.edu/110403443/B_Nearly_Compact_Spaces","owner_id":12462388,"coauthors_can_edit":true,"owner":{"id":12462388,"first_name":"Dr. Padma","middle_initials":null,"last_name":"Prithivirajan","page_name":"DrPadmaPrithivirajan","domain_name":"independent","created_at":"2014-05-28T20:46:25.600-07:00","display_name":"Dr. Padma Prithivirajan","url":"https://independent.academia.edu/DrPadmaPrithivirajan"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="83986558"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/83986558/_Pairwise_Q_Separation_Axioms_in_Bitopological_Spaces"><img alt="Research paper thumbnail of • Pairwise Q* Separation Axioms in Bitopological Spaces" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/83986558/_Pairwise_Q_Separation_Axioms_in_Bitopological_Spaces">• Pairwise Q* Separation Axioms in Bitopological Spaces</a></div><div class="wp-workCard_item"><span>International Journal of Mathematical Archive</span><span>, 2013</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The aim of this paper is to introduce the concepts of pairwise Q* Ti ( i = 0, 1, 2, 3, 4 ) and pa...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The aim of this paper is to introduce the concepts of pairwise Q* Ti ( i = 0, 1, 2, 3, 4 ) and pairwise Q* normal, pairwise Q* regular, pairwise Q* US, pairwise Q* KC space, pairwise urysohn space, pairwise Q* T_(7⁄(8 )), pairwise Q* T_((1 1)⁄2), pairwise Q* T_((1 2)⁄( 3)), pairwise Q* T_((2 1)⁄2) space, pairwise Q* T_((4 1)⁄2) space, pairwise Q* T_((5 1)⁄2) space and study its general properties.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="83986558"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="83986558"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 83986558; 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dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=83986558]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":83986558,"title":"• Pairwise Q* Separation Axioms in Bitopological Spaces","internal_url":"https://www.academia.edu/83986558/_Pairwise_Q_Separation_Axioms_in_Bitopological_Spaces","owner_id":12462388,"coauthors_can_edit":true,"owner":{"id":12462388,"first_name":"Dr. Padma","middle_initials":null,"last_name":"Prithivirajan","page_name":"DrPadmaPrithivirajan","domain_name":"independent","created_at":"2014-05-28T20:46:25.600-07:00","display_name":"Dr. Padma Prithivirajan","url":"https://independent.academia.edu/DrPadmaPrithivirajan"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="83986557"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/83986557/Q_Locally_Closed_Sets_in_Topological_Space"><img alt="Research paper thumbnail of Q* Locally Closed Sets in Topological Space" class="work-thumbnail" src="https://attachments.academia-assets.com/89158176/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/83986557/Q_Locally_Closed_Sets_in_Topological_Space">Q* Locally Closed Sets in Topological Space</a></div><div class="wp-workCard_item"><span>Journal of Global Research in Mathematical</span><span>, 2014</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this paper we introduce and study the notions of Q* locally closed sets and Q* locally continu...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this paper we introduce and study the notions of Q* locally closed sets and Q* locally continuous in bitopological spaces. Keywords: Q* locally closed set, Q* locally closed* set , Q* locally closed** set , Q*LC - continuous , Q*LC* - continuous , Q*LC** - continuous and Q*- sub maximal space . Subject classification: 54D15.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4f9c1fc90d382e3375c7eaf1270ee7c8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":89158176,"asset_id":83986557,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/89158176/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="83986557"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="83986557"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 83986557; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="83986556"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/83986556/More_on_Pairwise_Almost_Normal_Spaces"><img alt="Research paper thumbnail of More on Pairwise Almost Normal Spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/89158171/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/83986556/More_on_Pairwise_Almost_Normal_Spaces">More on Pairwise Almost Normal Spaces</a></div><div class="wp-workCard_item"><span>International Research Journal of Pure Algebra</span><span>, 2013</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">T he main focus of this paper is to introduce the properties of pairwise almost Hausdorffand pair...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">T he main focus of this paper is to introduce the properties of pairwise almost Hausdorffand pairwise almost normalspaces. Also we introduce the Urysohn lemma using pairwise almost normal.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="1fa13908ebedf2b00afec7a9bb41c223" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":89158171,"asset_id":83986556,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/89158171/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="83986556"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="83986556"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 83986556; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="83986555"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/83986555/Strongly_Minimal_Generalized_Boundary"><img alt="Research paper thumbnail of Strongly Minimal Generalized Boundary" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/83986555/Strongly_Minimal_Generalized_Boundary">Strongly Minimal Generalized Boundary</a></div><div class="wp-workCard_item"><span>Indian Journal of Applied Research</span><span>, 2011</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this paper properties of smg - boundary are investigated.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="83986555"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="83986555"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 83986555; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45443022"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45443022/Pairwise_DaO_Connectedness_in_bitopological_spaces"><img alt="Research paper thumbnail of Pairwise DaO -Connectedness in bitopological spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/65954385/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45443022/Pairwise_DaO_Connectedness_in_bitopological_spaces">Pairwise DaO -Connectedness in bitopological spaces</a></div><div class="wp-workCard_item"><span>INFOKARA RESEARCH</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">O.R.Sayed, A.M.Khalil [23] introduced the notion of D-closed sets in topological spaces in 2015....</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">O.R.Sayed, A.M.Khalil [23] introduced the notion of D-closed sets in topological spaces in 2015.The aim of this paper is to introduce the notion of pairwise DO-connected spaces and pairwise DO-disconnected spaces.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="48190d132d714ca6b45a8022be7acdbf" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954385,"asset_id":45443022,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954385/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45443022"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45443022"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45443022; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442999"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442999/Pairwise_gs_O_Connectedness_in_bitopological_spaces"><img alt="Research paper thumbnail of Pairwise gs**O -Connectedness in bitopological spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/65954342/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442999/Pairwise_gs_O_Connectedness_in_bitopological_spaces">Pairwise gs**O -Connectedness in bitopological spaces</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental modal analysis</span><span>, 2019</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Connectedness is a well-known notion in topology. Pervin [18] was first to define connectedness a...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Connectedness is a well-known notion in topology. Pervin [18] was first to define connectedness and components in a bitopological spaces, whereas the concept of quasi components in bitopological spaces was introduced by Reilly and Young [10].The aim of this paper is to introduce the notion of pairwise gs**O-connected spaces and pairwise gs**O-disconnected spaces.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e19590455508317035adcba19b49e5f3" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954342,"asset_id":45442999,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954342/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442999"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442999"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442999; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442976"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442976/Pasting_Lemma_for_Q_Continuous_Function"><img alt="Research paper thumbnail of Pasting Lemma for Q** -Continuous Function" class="work-thumbnail" src="https://attachments.academia-assets.com/65954299/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442976/Pasting_Lemma_for_Q_Continuous_Function">Pasting Lemma for Q** -Continuous Function</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The pasting lemmas for continuous functions are established over last two decades. Anitha etal.[1...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The pasting lemmas for continuous functions are established over last two decades. Anitha etal.[1] established the pasting lemma for rg –continuous, gc -irresolute and gp -continuous functions. In this sequel, the pasting lemmas for Q**-continuous functions have been introduce in this paper.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="826e57eaa13448513358060623088c7b" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954299,"asset_id":45442976,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954299/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442976"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442976"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442976; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442961"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442961/A_Study_On_Five_Domination_Number_In_Graphs"><img alt="Research paper thumbnail of A Study On Five Domination Number In Graphs" class="work-thumbnail" src="https://attachments.academia-assets.com/65954267/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442961/A_Study_On_Five_Domination_Number_In_Graphs">A Study On Five Domination Number In Graphs</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Dominating queens is the origin of the study of dominating set in graphs.Berge [1] ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Dominating  queens  is  the  origin  of  the  study  of  dominating  set  in  graphs.Berge  [1]  and  Ore  [4]  were  the  first  to  define dominating sets. A dominating set is said to be fivedominating set if every vertex in V –S is adjacent to at least fivevertices in S. The minimum cardinality taken over all, the minimal fivedominating set is called fivedomination number and is denoted by 5d(G).In this paper, we introduce and studythe fivedomination number and its characterizations.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="35fed8edb768d8ed3d73d66ab5959956" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954267,"asset_id":45442961,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954267/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442961"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442961"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442961; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=45442961]").text(description); $(".js-view-count[data-work-id=45442961]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 45442961; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='45442961']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442937"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442937/Perfect_Triple_Domination_Number_and_Independent_Triple_Domination_Number_of_a_Fuzzy_Graph"><img alt="Research paper thumbnail of Perfect Triple Domination Number and Independent Triple Domination Number of a Fuzzy Graph" class="work-thumbnail" src="https://attachments.academia-assets.com/65954258/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442937/Perfect_Triple_Domination_Number_and_Independent_Triple_Domination_Number_of_a_Fuzzy_Graph">Perfect Triple Domination Number and Independent Triple Domination Number of a Fuzzy Graph</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A set D⊆V is called triple dominating set of a fuzzy graph G. If every vertex in V is dominated b...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">A set D⊆V is called triple dominating set of a fuzzy graph G. If every vertex in V is dominated by at least three vertices in D. The minimum cardinality of fuzzy triple dominating set is called fuzzy triple domination number of G and is denoted by γ₃(G).The aim of this paper is to find on what relations the fuzzy graph has perfect triple domination number and independent triple domination number for a connected fuzzy is obtained .</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="527b6680ace934eb47cff657ed8218c7" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954258,"asset_id":45442937,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954258/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442937"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442937"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442937; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442919"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442919/A_Study_on_Odd_and_Mean_Labeling_of_Hausdorff_Cycles"><img alt="Research paper thumbnail of A Study on Odd and Mean Labeling of Hausdorff Cycles" class="work-thumbnail" src="https://attachments.academia-assets.com/65954245/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442919/A_Study_on_Odd_and_Mean_Labeling_of_Hausdorff_Cycles">A Study on Odd and Mean Labeling of Hausdorff Cycles</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this paper, we consider the Hausdorff graphs are connected and simple. Here we discuss Even Me...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this paper, we consider the Hausdorff graphs are connected and simple. Here we discuss Even Mean labeling and Odd Meanlabeling for someHausdorff  graphs. A graph G is said to be Hausdorff  if for any two distinct vertices u and v of G, one of the following condition hold:1.Both u and v are isolated2.Either u and v is isolated3.There exist two non-adjacent edges  𝐞𝟏and 𝐞𝟐of G such that𝐞𝟏is incident with u and 𝐞𝟐is incident with v.All the graphs consider here are connected i.e., graphs holding the third condition of hausdorff graphs are considered.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="3f2e84656f7d7cac3b472a41dd9c1ab6" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954245,"asset_id":45442919,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954245/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442919"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442919"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442919; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442895"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442895/Four_domination_in_graphs"><img alt="Research paper thumbnail of Four domination in graphs" class="work-thumbnail" src="https://attachments.academia-assets.com/65954233/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442895/Four_domination_in_graphs">Four domination in graphs</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Berge [1] and Ore [4] were the first to define dominating sets. A dominating set is...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Berge  [1]  and  Ore  [4]  were  the  first  to  define  dominating  sets.  A  dominating set  is  said  to  be  four  dominating  set  if  every vertex in  V –S is adjacent to  at least four  vertices in S . The  minimum  cardinality taken over all , the  minimal four dominating set is called  four  domination  number  and  is  denoted  by 4d(G). In  this  paper, we  introduce  and  study the  four  domination  number  and its characterizations.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4ffe6e89cbbea962315bea224e8ec171" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954233,"asset_id":45442895,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954233/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442895"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442895"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442895; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442874"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442874/On_s_g_closed_set_in_topological_spaces"><img alt="Research paper thumbnail of On 𝑠⋆g -closed set in topological spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/65954219/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442874/On_s_g_closed_set_in_topological_spaces">On 𝑠⋆g -closed set in topological spaces</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The notion of semi star star generalised closed sets were introduced by K.Kannan[11] in 2013. A s...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The notion of semi star star generalised closed sets were introduced by K.Kannan[11] in 2013. A set A of a topological space (X,) is called semi star generalized closed (⋆ g-closed) if cl(A)  U whenever A  U and U is s**g-open in X. The aim of this paper is to introduce the concepts of semi star generalized closed sets (⋆ g-closed), semi star generalized open sets (⋆ g-open) and study their basic properties in topological spaces.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e9acb4feb2b3b8f2972cdc3b6b5f4a15" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954219,"asset_id":45442874,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954219/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442874"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442874"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442874; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442852"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442852/Perfect_Four_Domination_Number_And_Independent_Four_Domination_Number_Of_A_Graph"><img alt="Research paper thumbnail of Perfect Four Domination Number And Independent Four Domination Number Of A Graph" class="work-thumbnail" src="https://attachments.academia-assets.com/65954206/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442852/Perfect_Four_Domination_Number_And_Independent_Four_Domination_Number_Of_A_Graph">Perfect Four Domination Number And Independent Four Domination Number Of A Graph</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Berge [1] and Ore [4] were the first to define dominating sets. A dominating set is said to be fo...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Berge [1] and Ore [4] were the first to define dominating sets. A dominating set is said to be four dominating set[9] if every vertex  in  V –S  is  adjacent  to  at  least  four  vertices  in  S. The  minimum  cardinality  taken  over  all,  the  minimal  four  dominating  set  is called  four  domination  number  and  is  denoted  by 4d(G). In this paper, we introduce the perfect four domination number, independent four domination number and study its properties.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="b00597a869d65d9be991a97344e3ed82" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954206,"asset_id":45442852,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954206/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442852"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442852"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442852; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442845"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442845/Q_Closed_sets_in_topological_spaces"><img alt="Research paper thumbnail of Q** - Closed sets in topological spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/65954192/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442845/Q_Closed_sets_in_topological_spaces">Q** - Closed sets in topological spaces</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In the year 2010, the concepts of Q*-closed sets were introduced and studied by Murugalingam and ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In the year 2010, the concepts of Q*-closed sets were introduced and studied by Murugalingam and Lalitha [7, 8] in topological spaces. In this paper we introduce and study new type of closed sets called Q**-closed sets in topological spaces. Also we discuss some of their properties.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a8564196c82a7bfd60c08a4e4364027e" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954192,"asset_id":45442845,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954192/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442845"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442845"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442845; 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Pervin [21] was first to define connectedness a...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Connectedness is a well-known notion in topology. Pervin [21] was first to define connectedness and components in a bitopological spaces, where as the concept of quasi components in bitopological spaces was introduced by Reilly and Young [10]. The aim of this paper is to introduce the notion of pairwise Q**O-connected spaces and pairwise Q**O-disconnected spaces.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="db060c41a0770cb68a93f25ba7fb1d18" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954186,"asset_id":45442836,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954186/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442836"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442836"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442836; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442829"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442829/Some_Topological_Separation_Axioms_Using_gp_Open_Sets"><img alt="Research paper thumbnail of Some Topological Separation Axioms Using gp** - Open Sets" class="work-thumbnail" src="https://attachments.academia-assets.com/65954174/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442829/Some_Topological_Separation_Axioms_Using_gp_Open_Sets">Some Topological Separation Axioms Using gp** - Open Sets</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Replacing open sets by gp** open sets and 'cl' by gp** in-Spaces (i = 0, 1, 2) and gp**-Spaces (i...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Replacing open sets by gp** open sets and 'cl' by gp** in-Spaces (i = 0, 1, 2) and gp**-Spaces (i = 0, 1) of csaszar [7], We introduce gp**-Spaces (i = 0, 1, 2) and gp**-Spaces (i = 0, 1) in topological spaces and study its properties. Keywords-gp**-Spaces (i = 0, 1, 2) and gp**-Spaces (i = 0, 1). I.INTRODUCTION Topology has a vital role in pure mathematics and has many subfields. The topology structured the foundation for geometry and algebra. There is no universal agreement among mathematicians as what a first course in topology should include. There are many topics that are appropriate to such a course and not all are equally relevant to the varied purposes. Separation axioms are properties by which the topology on a space X separates points from points, points from closed sets and closed sets from each other. The various separation axioms give rise to a sequence of successively stronger requirements, which are put upon the topology of a space to separate varying types of subsets. In 1963, Levine introduced the concept of semi-open sets. Since then, a considerable number of papers discussing separation axioms, essentially by replacing open sets by semi-open sets, have appeared in the literature. For instance, Maheshwari and Prasad introduced semi-T 0 , semi-T 1 , semi-T 2 , s-normality and s-regularity as a generalization of T 0 , T 1 , T 2 , regularity and normality axioms respectively, and investigated their properties. The notion of semi-open sets was used by Maheshwari and Prasad to introduce pairwise semi-T 0 , pairwise semi-T 1 , pairwise semi-T 2 , pairwises-regular and pairwise s-normal spaces. Moreover, s-normal (resp. semi normal) spaces were introduced and studied by Maheshwari and Prasad [12] (resp. Dorsett [8]). Throughout this paper X and Y always represent nonempty topological spaces (X,) and(Y,).In this paper, we introduce gp**-spaces, (i = 0, 1, 2) and gp**-Spaces (i = 0, 1) in topological spaces and study its properties. II. gp**-SPACES (i = 0, 1, 2) AND gp**-SPACES (i = 0, 1) In the year 2013, gp**-closed sets were introduced by D.Narasimhan and J.Jayanthi [19]. In this section, we introduce gp**-spaces, (i = 0, 1, 2) and gp**-Spaces (i = 0, 1) in topological spaces and study its properties. Definition 2.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="5bb72584f570c5bf9b7c7c47825ea698" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954174,"asset_id":45442829,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954174/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442829"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442829"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442829; 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A topological space (X,)...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In compactness g-open sets were firstly used by Balachandran [1] et al. A topological space (X,) is called go-compact if every cover of X by g-open sets has a finite sub cover. In this paper, we introduce the Q **O-compact spaes in topological spaces and study it's properties.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="aa8a874058cf549308f8272fb9e2f8b4" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954160,"asset_id":45442788,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954160/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442788"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442788"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442788; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> </div><div class="profile--tab_content_container js-tab-pane tab-pane" data-section-id="1476838" id="papers"><div class="js-work-strip profile--work_container" data-work-id="110403443"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/110403443/B_Nearly_Compact_Spaces"><img alt="Research paper thumbnail of B - Nearly Compact Spaces" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/110403443/B_Nearly_Compact_Spaces">B - Nearly Compact Spaces</a></div><div class="wp-workCard_item"><span>Journal of Global Research in Mathematical</span><span>, 2014</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The main focus of this paper is to introduce the B - nearly compact spaces and study its properti...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The main focus of this paper is to introduce the B - nearly compact spaces and study its properties. Keywords: B - nearly compact spaces</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="110403443"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="110403443"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 110403443; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=110403443]").text(description); $(".js-view-count[data-work-id=110403443]").attr('title', description).tooltip(); 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dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=110403443]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":110403443,"title":"B - Nearly Compact Spaces","internal_url":"https://www.academia.edu/110403443/B_Nearly_Compact_Spaces","owner_id":12462388,"coauthors_can_edit":true,"owner":{"id":12462388,"first_name":"Dr. Padma","middle_initials":null,"last_name":"Prithivirajan","page_name":"DrPadmaPrithivirajan","domain_name":"independent","created_at":"2014-05-28T20:46:25.600-07:00","display_name":"Dr. Padma Prithivirajan","url":"https://independent.academia.edu/DrPadmaPrithivirajan"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="83986558"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/83986558/_Pairwise_Q_Separation_Axioms_in_Bitopological_Spaces"><img alt="Research paper thumbnail of • Pairwise Q* Separation Axioms in Bitopological Spaces" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/83986558/_Pairwise_Q_Separation_Axioms_in_Bitopological_Spaces">• Pairwise Q* Separation Axioms in Bitopological Spaces</a></div><div class="wp-workCard_item"><span>International Journal of Mathematical Archive</span><span>, 2013</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The aim of this paper is to introduce the concepts of pairwise Q* Ti ( i = 0, 1, 2, 3, 4 ) and pa...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The aim of this paper is to introduce the concepts of pairwise Q* Ti ( i = 0, 1, 2, 3, 4 ) and pairwise Q* normal, pairwise Q* regular, pairwise Q* US, pairwise Q* KC space, pairwise urysohn space, pairwise Q* T_(7⁄(8 )), pairwise Q* T_((1 1)⁄2), pairwise Q* T_((1 2)⁄( 3)), pairwise Q* T_((2 1)⁄2) space, pairwise Q* T_((4 1)⁄2) space, pairwise Q* T_((5 1)⁄2) space and study its general properties.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="83986558"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="83986558"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 83986558; 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Keywords: Q* locally closed set, Q* locally closed* set , Q* locally closed** set , Q*LC - continuous , Q*LC* - continuous , Q*LC** - continuous and Q*- sub maximal space . Subject classification: 54D15.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4f9c1fc90d382e3375c7eaf1270ee7c8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":89158176,"asset_id":83986557,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/89158176/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="83986557"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="83986557"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 83986557; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="83986556"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/83986556/More_on_Pairwise_Almost_Normal_Spaces"><img alt="Research paper thumbnail of More on Pairwise Almost Normal Spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/89158171/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/83986556/More_on_Pairwise_Almost_Normal_Spaces">More on Pairwise Almost Normal Spaces</a></div><div class="wp-workCard_item"><span>International Research Journal of Pure Algebra</span><span>, 2013</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">T he main focus of this paper is to introduce the properties of pairwise almost Hausdorffand pair...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">T he main focus of this paper is to introduce the properties of pairwise almost Hausdorffand pairwise almost normalspaces. Also we introduce the Urysohn lemma using pairwise almost normal.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="1fa13908ebedf2b00afec7a9bb41c223" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":89158171,"asset_id":83986556,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/89158171/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="83986556"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="83986556"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 83986556; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45443022"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45443022/Pairwise_DaO_Connectedness_in_bitopological_spaces"><img alt="Research paper thumbnail of Pairwise DaO -Connectedness in bitopological spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/65954385/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45443022/Pairwise_DaO_Connectedness_in_bitopological_spaces">Pairwise DaO -Connectedness in bitopological spaces</a></div><div class="wp-workCard_item"><span>INFOKARA RESEARCH</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">O.R.Sayed, A.M.Khalil [23] introduced the notion of D-closed sets in topological spaces in 2015....</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">O.R.Sayed, A.M.Khalil [23] introduced the notion of D-closed sets in topological spaces in 2015.The aim of this paper is to introduce the notion of pairwise DO-connected spaces and pairwise DO-disconnected spaces.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="48190d132d714ca6b45a8022be7acdbf" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954385,"asset_id":45443022,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954385/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45443022"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45443022"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45443022; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442999"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442999/Pairwise_gs_O_Connectedness_in_bitopological_spaces"><img alt="Research paper thumbnail of Pairwise gs**O -Connectedness in bitopological spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/65954342/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442999/Pairwise_gs_O_Connectedness_in_bitopological_spaces">Pairwise gs**O -Connectedness in bitopological spaces</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental modal analysis</span><span>, 2019</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Connectedness is a well-known notion in topology. Pervin [18] was first to define connectedness a...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Connectedness is a well-known notion in topology. Pervin [18] was first to define connectedness and components in a bitopological spaces, whereas the concept of quasi components in bitopological spaces was introduced by Reilly and Young [10].The aim of this paper is to introduce the notion of pairwise gs**O-connected spaces and pairwise gs**O-disconnected spaces.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e19590455508317035adcba19b49e5f3" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954342,"asset_id":45442999,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954342/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442999"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442999"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442999; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442976"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442976/Pasting_Lemma_for_Q_Continuous_Function"><img alt="Research paper thumbnail of Pasting Lemma for Q** -Continuous Function" class="work-thumbnail" src="https://attachments.academia-assets.com/65954299/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442976/Pasting_Lemma_for_Q_Continuous_Function">Pasting Lemma for Q** -Continuous Function</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The pasting lemmas for continuous functions are established over last two decades. Anitha etal.[1...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The pasting lemmas for continuous functions are established over last two decades. Anitha etal.[1] established the pasting lemma for rg –continuous, gc -irresolute and gp -continuous functions. In this sequel, the pasting lemmas for Q**-continuous functions have been introduce in this paper.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="826e57eaa13448513358060623088c7b" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954299,"asset_id":45442976,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954299/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442976"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442976"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442976; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442961"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442961/A_Study_On_Five_Domination_Number_In_Graphs"><img alt="Research paper thumbnail of A Study On Five Domination Number In Graphs" class="work-thumbnail" src="https://attachments.academia-assets.com/65954267/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442961/A_Study_On_Five_Domination_Number_In_Graphs">A Study On Five Domination Number In Graphs</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Dominating queens is the origin of the study of dominating set in graphs.Berge [1] ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Dominating  queens  is  the  origin  of  the  study  of  dominating  set  in  graphs.Berge  [1]  and  Ore  [4]  were  the  first  to  define dominating sets. A dominating set is said to be fivedominating set if every vertex in V –S is adjacent to at least fivevertices in S. The minimum cardinality taken over all, the minimal fivedominating set is called fivedomination number and is denoted by 5d(G).In this paper, we introduce and studythe fivedomination number and its characterizations.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="35fed8edb768d8ed3d73d66ab5959956" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954267,"asset_id":45442961,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954267/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442961"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442961"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442961; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442937"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442937/Perfect_Triple_Domination_Number_and_Independent_Triple_Domination_Number_of_a_Fuzzy_Graph"><img alt="Research paper thumbnail of Perfect Triple Domination Number and Independent Triple Domination Number of a Fuzzy Graph" class="work-thumbnail" src="https://attachments.academia-assets.com/65954258/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442937/Perfect_Triple_Domination_Number_and_Independent_Triple_Domination_Number_of_a_Fuzzy_Graph">Perfect Triple Domination Number and Independent Triple Domination Number of a Fuzzy Graph</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A set D⊆V is called triple dominating set of a fuzzy graph G. If every vertex in V is dominated b...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">A set D⊆V is called triple dominating set of a fuzzy graph G. If every vertex in V is dominated by at least three vertices in D. The minimum cardinality of fuzzy triple dominating set is called fuzzy triple domination number of G and is denoted by γ₃(G).The aim of this paper is to find on what relations the fuzzy graph has perfect triple domination number and independent triple domination number for a connected fuzzy is obtained .</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="527b6680ace934eb47cff657ed8218c7" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954258,"asset_id":45442937,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954258/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442937"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442937"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442937; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442919"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442919/A_Study_on_Odd_and_Mean_Labeling_of_Hausdorff_Cycles"><img alt="Research paper thumbnail of A Study on Odd and Mean Labeling of Hausdorff Cycles" class="work-thumbnail" src="https://attachments.academia-assets.com/65954245/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442919/A_Study_on_Odd_and_Mean_Labeling_of_Hausdorff_Cycles">A Study on Odd and Mean Labeling of Hausdorff Cycles</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this paper, we consider the Hausdorff graphs are connected and simple. Here we discuss Even Me...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this paper, we consider the Hausdorff graphs are connected and simple. Here we discuss Even Mean labeling and Odd Meanlabeling for someHausdorff  graphs. A graph G is said to be Hausdorff  if for any two distinct vertices u and v of G, one of the following condition hold:1.Both u and v are isolated2.Either u and v is isolated3.There exist two non-adjacent edges  𝐞𝟏and 𝐞𝟐of G such that𝐞𝟏is incident with u and 𝐞𝟐is incident with v.All the graphs consider here are connected i.e., graphs holding the third condition of hausdorff graphs are considered.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="3f2e84656f7d7cac3b472a41dd9c1ab6" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954245,"asset_id":45442919,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954245/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442919"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442919"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442919; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442895"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442895/Four_domination_in_graphs"><img alt="Research paper thumbnail of Four domination in graphs" class="work-thumbnail" src="https://attachments.academia-assets.com/65954233/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442895/Four_domination_in_graphs">Four domination in graphs</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Berge [1] and Ore [4] were the first to define dominating sets. A dominating set is...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Berge  [1]  and  Ore  [4]  were  the  first  to  define  dominating  sets.  A  dominating set  is  said  to  be  four  dominating  set  if  every vertex in  V –S is adjacent to  at least four  vertices in S . The  minimum  cardinality taken over all , the  minimal four dominating set is called  four  domination  number  and  is  denoted  by 4d(G). In  this  paper, we  introduce  and  study the  four  domination  number  and its characterizations.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4ffe6e89cbbea962315bea224e8ec171" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954233,"asset_id":45442895,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954233/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442895"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442895"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442895; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442874"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442874/On_s_g_closed_set_in_topological_spaces"><img alt="Research paper thumbnail of On 𝑠⋆g -closed set in topological spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/65954219/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442874/On_s_g_closed_set_in_topological_spaces">On 𝑠⋆g -closed set in topological spaces</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The notion of semi star star generalised closed sets were introduced by K.Kannan[11] in 2013. A s...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The notion of semi star star generalised closed sets were introduced by K.Kannan[11] in 2013. A set A of a topological space (X,) is called semi star generalized closed (⋆ g-closed) if cl(A)  U whenever A  U and U is s**g-open in X. The aim of this paper is to introduce the concepts of semi star generalized closed sets (⋆ g-closed), semi star generalized open sets (⋆ g-open) and study their basic properties in topological spaces.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e9acb4feb2b3b8f2972cdc3b6b5f4a15" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954219,"asset_id":45442874,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954219/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442874"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442874"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442874; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442852"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442852/Perfect_Four_Domination_Number_And_Independent_Four_Domination_Number_Of_A_Graph"><img alt="Research paper thumbnail of Perfect Four Domination Number And Independent Four Domination Number Of A Graph" class="work-thumbnail" src="https://attachments.academia-assets.com/65954206/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442852/Perfect_Four_Domination_Number_And_Independent_Four_Domination_Number_Of_A_Graph">Perfect Four Domination Number And Independent Four Domination Number Of A Graph</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Berge [1] and Ore [4] were the first to define dominating sets. A dominating set is said to be fo...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Berge [1] and Ore [4] were the first to define dominating sets. A dominating set is said to be four dominating set[9] if every vertex  in  V –S  is  adjacent  to  at  least  four  vertices  in  S. The  minimum  cardinality  taken  over  all,  the  minimal  four  dominating  set  is called  four  domination  number  and  is  denoted  by 4d(G). In this paper, we introduce the perfect four domination number, independent four domination number and study its properties.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="b00597a869d65d9be991a97344e3ed82" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954206,"asset_id":45442852,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954206/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442852"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442852"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442852; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442845"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442845/Q_Closed_sets_in_topological_spaces"><img alt="Research paper thumbnail of Q** - Closed sets in topological spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/65954192/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442845/Q_Closed_sets_in_topological_spaces">Q** - Closed sets in topological spaces</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In the year 2010, the concepts of Q*-closed sets were introduced and studied by Murugalingam and ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In the year 2010, the concepts of Q*-closed sets were introduced and studied by Murugalingam and Lalitha [7, 8] in topological spaces. In this paper we introduce and study new type of closed sets called Q**-closed sets in topological spaces. Also we discuss some of their properties.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a8564196c82a7bfd60c08a4e4364027e" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954192,"asset_id":45442845,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954192/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442845"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442845"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442845; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442836"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442836/Pairwise_Q_O_Connectedness_in_bitopological_spaces"><img alt="Research paper thumbnail of Pairwise Q**O - Connectedness in bitopological spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/65954186/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442836/Pairwise_Q_O_Connectedness_in_bitopological_spaces">Pairwise Q**O - Connectedness in bitopological spaces</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Connectedness is a well-known notion in topology. Pervin [21] was first to define connectedness a...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Connectedness is a well-known notion in topology. Pervin [21] was first to define connectedness and components in a bitopological spaces, where as the concept of quasi components in bitopological spaces was introduced by Reilly and Young [10]. The aim of this paper is to introduce the notion of pairwise Q**O-connected spaces and pairwise Q**O-disconnected spaces.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="db060c41a0770cb68a93f25ba7fb1d18" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954186,"asset_id":45442836,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954186/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442836"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442836"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442836; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442829"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442829/Some_Topological_Separation_Axioms_Using_gp_Open_Sets"><img alt="Research paper thumbnail of Some Topological Separation Axioms Using gp** - Open Sets" class="work-thumbnail" src="https://attachments.academia-assets.com/65954174/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442829/Some_Topological_Separation_Axioms_Using_gp_Open_Sets">Some Topological Separation Axioms Using gp** - Open Sets</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Replacing open sets by gp** open sets and 'cl' by gp** in-Spaces (i = 0, 1, 2) and gp**-Spaces (i...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Replacing open sets by gp** open sets and 'cl' by gp** in-Spaces (i = 0, 1, 2) and gp**-Spaces (i = 0, 1) of csaszar [7], We introduce gp**-Spaces (i = 0, 1, 2) and gp**-Spaces (i = 0, 1) in topological spaces and study its properties. Keywords-gp**-Spaces (i = 0, 1, 2) and gp**-Spaces (i = 0, 1). I.INTRODUCTION Topology has a vital role in pure mathematics and has many subfields. The topology structured the foundation for geometry and algebra. There is no universal agreement among mathematicians as what a first course in topology should include. There are many topics that are appropriate to such a course and not all are equally relevant to the varied purposes. Separation axioms are properties by which the topology on a space X separates points from points, points from closed sets and closed sets from each other. The various separation axioms give rise to a sequence of successively stronger requirements, which are put upon the topology of a space to separate varying types of subsets. In 1963, Levine introduced the concept of semi-open sets. Since then, a considerable number of papers discussing separation axioms, essentially by replacing open sets by semi-open sets, have appeared in the literature. For instance, Maheshwari and Prasad introduced semi-T 0 , semi-T 1 , semi-T 2 , s-normality and s-regularity as a generalization of T 0 , T 1 , T 2 , regularity and normality axioms respectively, and investigated their properties. The notion of semi-open sets was used by Maheshwari and Prasad to introduce pairwise semi-T 0 , pairwise semi-T 1 , pairwise semi-T 2 , pairwises-regular and pairwise s-normal spaces. Moreover, s-normal (resp. semi normal) spaces were introduced and studied by Maheshwari and Prasad [12] (resp. Dorsett [8]). Throughout this paper X and Y always represent nonempty topological spaces (X,) and(Y,).In this paper, we introduce gp**-spaces, (i = 0, 1, 2) and gp**-Spaces (i = 0, 1) in topological spaces and study its properties. II. gp**-SPACES (i = 0, 1, 2) AND gp**-SPACES (i = 0, 1) In the year 2013, gp**-closed sets were introduced by D.Narasimhan and J.Jayanthi [19]. In this section, we introduce gp**-spaces, (i = 0, 1, 2) and gp**-Spaces (i = 0, 1) in topological spaces and study its properties. Definition 2.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="5bb72584f570c5bf9b7c7c47825ea698" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":65954174,"asset_id":45442829,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/65954174/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45442829"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45442829"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45442829; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45442788"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45442788/Q_closed_Q_open_Q_Lindelof_and_Q_O_compact_spaces"><img alt="Research paper thumbnail of Q** -closed,Q** -open, Q**-Lindelof and Q**O -compact spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/65954160/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45442788/Q_closed_Q_open_Q_Lindelof_and_Q_O_compact_spaces">Q** -closed,Q** -open, Q**-Lindelof and Q**O -compact spaces</a></div><div class="wp-workCard_item"><span>The International journal of analytical and experimental analysis</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In compactness g-open sets were firstly used by Balachandran [1] et al. A topological space (X,)...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In compactness g-open sets were firstly used by Balachandran [1] et al. A topological space (X,) is called go-compact if every cover of X by g-open sets has a finite sub cover. 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