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"https://www.academia.edu/login?post_login_redirect_url=https%3A%2F%2Fwww.academia.edu%2F67421471%2FLocal_function_versus_local_closure_function_in_ideal_topological_spaces%3Fauto%3Ddownload"; window.loswp.translateUrl = "https://www.academia.edu/login?post_login_redirect_url=https%3A%2F%2Fwww.academia.edu%2F67421471%2FLocal_function_versus_local_closure_function_in_ideal_topological_spaces%3Fshow_translation%3Dtrue"; window.loswp.previewableAttachments = [{"id":78244276,"identifier":"Attachment_78244276","shouldShowBulkDownload":false}]; window.loswp.shouldDetectTimezone = true; window.loswp.shouldShowBulkDownload = true; window.loswp.showSignupCaptcha = false window.loswp.willEdgeCache = false; window.loswp.work = {"work":{"id":67421471,"created_at":"2022-01-06T12:17:01.590-08:00","from_world_paper_id":190911796,"updated_at":"2022-01-06T12:39:22.660-08:00","_data":{"abstract":"The aim of this paper is to further investigate properties of the local closure function, as a generalization of the ?-closure and the local function in ideal topological spaces. Similarities and differences between it and the local function are examined by varying several well-known ideals.","publisher":"National Library of Serbia","publication_name":"Filomat"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Local function versus local closure function in ideal topological spaces","broadcastable":false,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [46679622]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "control"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":78244276,"attachmentType":"pdf"}"><img alt="First page of “Local function versus local closure function in ideal topological spaces”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/78244276/mini_magick20220106-22465-tzmaz6.png?1641500283" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/assets/single_work_splash/adobe.icon-574afd46eb6b03a77a153a647fb47e30546f9215c0ee6a25df597a779717f9ef.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Local function versus local closure function in ideal topological spaces</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="46679622" href="https://pmf-uns.academia.edu/AleksandarPavlovi%C4%87"><img alt="Profile image of Aleksandar Pavlović" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/46679622/34765077/30419858/s65_aleksandar.pavlovi_.jpg" />Aleksandar Pavlović</a></div><p class="ds-work-card--detail ds2-5-body-sm">Filomat</p><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">The aim of this paper is to further investigate properties of the local closure function, as a generalization of the ?-closure and the local function in ideal topological spaces. Similarities and differences between it and the local function are examined by varying several well-known ideals.</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--work-card","attachmentId":78244276,"attachmentType":"pdf","workUrl":"https://www.academia.edu/67421471/Local_function_versus_local_closure_function_in_ideal_topological_spaces"}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--work-card","attachmentId":78244276,"attachmentType":"pdf","workUrl":"https://www.academia.edu/67421471/Local_function_versus_local_closure_function_in_ideal_topological_spaces"}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div></div><div data-auto_select="false" data-client_id="331998490334-rsn3chp12mbkiqhl6e7lu2q0mlbu0f1b" data-doc_id="78244276" data-landing_url="https://www.academia.edu/67421471/Local_function_versus_local_closure_function_in_ideal_topological_spaces" data-login_uri="https://www.academia.edu/registrations/google_one_tap" data-moment_callback="onGoogleOneTapEvent" id="g_id_onload"></div><div class="ds-top-related-works--grid-container"><div class="ds-related-content--container ds-top-related-works--container"><h2 class="ds-related-content--heading">Related papers</h2><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="0" data-entity-id="50812452" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/50812452/Pre_Local_Function_in_Ideal_Topological_Spaces">Pre-Local Function in Ideal Topological Spaces</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="28791139" href="https://mahendra.academia.edu/InternationalJournalofAdvancedScienceandEngineeringIJASE">International Journal of Advanced Science and Engineering (IJASE)</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Int. 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We also discuss their properties, characterizations and relations with existing notions with suitable examples. Then we develop this paper towards rlimit points and r-interior points in ideal r-neighbourhood space and obtain nice results. 2010 Mathematics Subject Classification. Primary 03E99; Secondary 54A05, 54A10.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Applications of some modified open sets in r-neighbourhood spaces with ideals","attachmentId":113557250,"attachmentType":"pdf","work_url":"https://www.academia.edu/117784750/Applications_of_some_modified_open_sets_in_r_neighbourhood_spaces_with_ideals","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/117784750/Applications_of_some_modified_open_sets_in_r_neighbourhood_spaces_with_ideals"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="72042808" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/72042808/Multiset_ideal_topological_spaces_and_Kuratowski_closure_operator">Multiset ideal topological spaces and Kuratowski closure operator</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="33297539" href="https://independent.academia.edu/BinodTripathy">Binod Tripathy</a></div><p class="ds-related-work--metadata ds2-5-body-xs">SERIES III - MATEMATICS, INFORMATICS, PHYSICS</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Multiset ideal topological spaces and Kuratowski closure operator","attachmentId":81133895,"attachmentType":"pdf","work_url":"https://www.academia.edu/72042808/Multiset_ideal_topological_spaces_and_Kuratowski_closure_operator","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/72042808/Multiset_ideal_topological_spaces_and_Kuratowski_closure_operator"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="67421791" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/67421791/On_preserving_continuity_in_ideal_topological_spaces">On preserving continuity in ideal topological spaces</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="46679622" href="https://pmf-uns.academia.edu/AleksandarPavlovi%C4%87">Aleksandar Pavlović</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2021</p><p class="ds-related-work--abstract ds2-5-body-sm">We present some sufficient conditions for continuity of the mapping f : 〈X, τ∗ X〉 → 〈Y, τ∗ Y 〉, where τ∗ X and τ ∗ Y are topologies induced by the local function on X and Y , resp. under the assumption that the mapping from 〈X, τX〉 to 〈Y, τY 〉 is continuous. Further, we consider open and closed functions in this matter, as we state the cases in which the open (or closed) mapping is being preserved through the ”idealisation” of both domain and codomain. Through several examples we illustrate that the conditions we considered can not be weakened. AMS Mathematics Subject Classification (2010): 54A10, 54A05, 54B99, 54E99</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"On preserving continuity in ideal topological spaces","attachmentId":78244459,"attachmentType":"pdf","work_url":"https://www.academia.edu/67421791/On_preserving_continuity_in_ideal_topological_spaces","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/67421791/On_preserving_continuity_in_ideal_topological_spaces"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="9" data-entity-id="104112478" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/104112478/New_Sets_on_Local_functions_of_Different_Perfect_sets_in_Micro_Ideal_Topological_Spaces">New Sets on Local functions of Different Perfect sets in Micro Ideal Topological Spaces</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="34217662" href="https://technoscienceacademy.academia.edu/IJSRSET">International Journal of Scientific Research in Science, Engineering and Technology IJSRSET</a></div><p class="ds-related-work--metadata ds2-5-body-xs">International Journal of Scientific Research in Science, Engineering and Technology, 2023</p><p class="ds-related-work--abstract ds2-5-body-sm">A perfect set is one of the characterizations for compatible ideals in an ideal topological space. In this paper, we introduce and in a brand new ideal space called Micro ideal topological spaces, which give the local functions of certain perfect sets in the space and study their properties. Also we obtain a generalized topology via ideals using which is finer than micro topology and also .</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"New Sets on Local functions of Different Perfect sets in Micro Ideal Topological Spaces","attachmentId":103926140,"attachmentType":"pdf","work_url":"https://www.academia.edu/104112478/New_Sets_on_Local_functions_of_Different_Perfect_sets_in_Micro_Ideal_Topological_Spaces","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/104112478/New_Sets_on_Local_functions_of_Different_Perfect_sets_in_Micro_Ideal_Topological_Spaces"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--sticky-ctas","attachmentId":78244276,"attachmentType":"pdf","workUrl":null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--sticky-ctas","attachmentId":78244276,"attachmentType":"pdf","workUrl":null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_78244276" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. 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