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Carpintero</a></div><div class="ds-work-card--detail"><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">description</span><p class="ds2-5-body-sm">12 pages</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 78626206; const worksViewsPath = "/v0/works/views?subdomain_param=api&work_ids%5B%5D=78626206"; const getWorkViews = async (workId) => { const response = await fetch(worksViewsPath); if (!response.ok) { throw new Error('Failed to load work views'); } const data = await response.json(); 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throw new Error(`Failed to parse view count: ${viewCount}`, error); } }; // If the DOM is still loading, wait for it to be ready before updating the view count. if (document.readyState === "loading") { document.addEventListener('DOMContentLoaded', () => { updateViewCount(viewCount); }); // Otherwise, just update it immediately. } else { updateViewCount(viewCount); } })();</script></div><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">The aim of this paper is to introduce and study the concepts of γ-regular open sets and their related notions in topological spaces.</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":85608824,"attachmentType":"pdf","workUrl":"https://www.academia.edu/78626206/Operation_Via_Regular_Open_Sets"}">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":85608824,"attachmentType":"pdf","workUrl":"https://www.academia.edu/78626206/Operation_Via_Regular_Open_Sets"}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div><div class="ds-signup-banner-trigger-container"><div class="ds-signup-banner-trigger ds-signup-banner-trigger-control"></div></div><div class="ds-signup-banner ds-signup-banner-control"><div id="ds-signup-banner-close-button"><button class="ds2-5-button ds2-5-button--secondary ds2-5-button--inverse"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">close</span></button></div><div class="ds-signup-banner-ctas"><img src="//a.academia-assets.com/images/academia-logo-capital-white.svg" /><h4 class="ds2-5-heading-serif-sm">Sign up for access to the world's latest research</h4><button class="ds2-5-button ds2-5-button--inverse ds2-5-button--full-width js-swp-download-button" data-signup-modal="{"location":"signup-banner"}">Sign up for free<span class="material-symbols-outlined" style="font-size: 20px" translate="no">arrow_forward</span></button></div><div class="ds-signup-banner-divider"></div><div class="ds-signup-banner-reasons"><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Get notified about relevant papers</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Save papers to use in your research</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Join the discussion with peers</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Track your impact</span></div></div></div><script>(() => { // Set up signup banner show/hide behavior: // 1. 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Ibrahim</a></div><p class="ds-related-work--abstract ds2-5-body-sm">In this paper, we introduce the concept of Rγ -open sets as a strong of γ-open sets in a topological space (X, τ ). Using this set, we introduce Rγ -T 0 , Rγ -T 1 2 , Rγ -T 1 , Rγ -T 2 , Rγ -T 3 , Rγ -T 4 , Rγ -D 0 , Rγ -D 1 and Rγ -D 2 spaces and study some of its properties. Finally we introduce R (γ,γ ) -continuous mappings and give some properties of such mappings.</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":"Operation on Regular Spaces","attachmentId":38348065,"attachmentType":"pdf","work_url":"https://www.academia.edu/14537470/Operation_on_Regular_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/14537470/Operation_on_Regular_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="1" data-entity-id="80387845" 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/80387845/On_Generalized_Regular_Closed_Sets">On Generalized Regular Closed Sets</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="108379037" href="https://independent.academia.edu/SharmisthaBhattacharya">Sharmistha Bhattacharya</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2010</p><p class="ds-related-work--abstract ds2-5-body-sm">The aim of this paper is to introduce the concept of generalized regular closed sets and study some of its properties . The corresponding topological space formed by the family of these sets is also studied. It may be noted that regular closed set doesn’t forms even a supra topological space. Various researchers had studied the concept of generalized closed sets and regular generalized closed sets earlier. The generalized closed set is properly placed between the generalized regular closed sets and regular generalized closed set. The connection of the topological space formed by the newly defined sets with other topological space are also discussed in this paper and some applications of this newly defined set are also shown. Mathematics Subject Classification: 54A40</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 Generalized Regular Closed Sets","attachmentId":86786096,"attachmentType":"pdf","work_url":"https://www.academia.edu/80387845/On_Generalized_Regular_Closed_Sets","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/80387845/On_Generalized_Regular_Closed_Sets"><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="2" data-entity-id="88406559" 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/88406559/Operation_compact_spaces_regular_spaces_and_normal_spaces_with_%CE%B1_%CE%B3_open_sets_in_topological_spaces">Operation-compact spaces, regular spaces and normal spaces with α-γ-open sets in 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="63135298" href="https://independent.academia.edu/AElMaghrabi">A. I El-Maghrabi</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Interdisciplinary Mathematics, 2017</p><p class="ds-related-work--abstract ds2-5-body-sm">Operation-compact spaces, regular spaces and normal spaces with a-g-open sets in topological spaces</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":"Operation-compact spaces, regular spaces and normal spaces with α-γ-open sets in topological spaces","attachmentId":92383984,"attachmentType":"pdf","work_url":"https://www.academia.edu/88406559/Operation_compact_spaces_regular_spaces_and_normal_spaces_with_%CE%B1_%CE%B3_open_sets_in_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/88406559/Operation_compact_spaces_regular_spaces_and_normal_spaces_with_%CE%B1_%CE%B3_open_sets_in_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="3" data-entity-id="126293616" 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/126293616/P_Jeyanthi_P_Nalayini_and_T_Noiri_Pre_regular_sp_open_sets_in_topological_spaces_CUBO_A_Mathematical_JournalVol_20_1_2018_31_39">P. Jeyanthi, P. Nalayini and T.Noiri, Pre- regular sp- open sets in topological spaces, CUBO A Mathematical JournalVol.20, (1)( 2018),. 31–39</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="49634263" href="https://tvl.academia.edu/PJeyanthi">P. Jeyanthi</a><span>, </span><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="86880252" href="https://independent.academia.edu/TNoiri">T. Noiri</a></div><p class="ds-related-work--metadata ds2-5-body-xs">CUBO A Mathematical Journal, 2018</p><p class="ds-related-work--abstract ds2-5-body-sm">In this paper, a new class of generalized open sets in a topological space, called preregular sp-open sets, is introduced and studied. This class is contained in the class of semi-preclopen sets and cotains all pre-clopen sets. We obtain decompositions of regular open sets by using pre-regular sp-open sets. RESUMEN En este artículo se introduce y estudia una nueva clase de conjuntos abiertos generalizados en un espacio topológico, llamados conjuntos pre-regulares sp-abiertos. Esa clase está contenida en la clase de conjuntos semi-preclopen y contiene todos los conjuntos pre-clopen. Obtenemos descomposiciones de conjuntos abiertos regulares usando conjuntos pre-regulares sp-abiertos.</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":"P. Jeyanthi, P. Nalayini and T.Noiri, Pre- regular sp- open sets in topological spaces, CUBO A Mathematical JournalVol.20, (1)( 2018),. 31–39","attachmentId":120193138,"attachmentType":"pdf","work_url":"https://www.academia.edu/126293616/P_Jeyanthi_P_Nalayini_and_T_Noiri_Pre_regular_sp_open_sets_in_topological_spaces_CUBO_A_Mathematical_JournalVol_20_1_2018_31_39","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/126293616/P_Jeyanthi_P_Nalayini_and_T_Noiri_Pre_regular_sp_open_sets_in_topological_spaces_CUBO_A_Mathematical_JournalVol_20_1_2018_31_39"><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="4" data-entity-id="57956581" 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/57956581/%CE%B3_Regular_Open_Sets_and_%CE%B3_Extremally_Disconnected_Spaces">γ-Regular-Open Sets and γ-Extremally Disconnected 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="134248540" href="https://independent.academia.edu/ZurniOmar">Zurni Omar</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2013</p><p class="ds-related-work--abstract ds2-5-body-sm">The aim of this paper is to introduce a new class of sets called γ-regular-open sets in topological spaces (X, τ) with an operation γ on τ together with its complement which is γ-regular-closed. Also to define a new space called γ-extremally disconnected, and to obtain several characterizations of γ-extremally disconnected spaces by utilizing γ-regular-open sets and γ-regular-closed sets. Further γ-locally indiscrete and γ-hyperconnected spaces have been defined. Keywords: γ-regular-open set, γ-regular-closed set, γ-extremally disconnected space, γ-locally indiscrete space and γ-hyperconnected space 2. Preliminaries Throughout this paper, (X, τ) (or simply X) will always denote topological spaces on which no separation axioms are assumed unless explicitly stated. A subset R of X is said to be regular open and regular closed if R =</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":"γ-Regular-Open Sets and γ-Extremally Disconnected Spaces","attachmentId":72602272,"attachmentType":"pdf","work_url":"https://www.academia.edu/57956581/%CE%B3_Regular_Open_Sets_and_%CE%B3_Extremally_Disconnected_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/57956581/%CE%B3_Regular_Open_Sets_and_%CE%B3_Extremally_Disconnected_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="5" data-entity-id="23318559" 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/23318559/On_a_type_of_generalized_open_sets">On a type of generalized open sets</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="45140461" href="https://independent.academia.edu/BishwambharRoy">Bishwambhar Roy</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Applied General Topology, 2013</p><p class="ds-related-work--abstract ds2-5-body-sm">In this paper, a new class of sets called µ-generalized closed (briefly µg-closed) sets in generalized topological spaces are introduced and studied. The class of all µg-closed sets is strictly larger than the class of all µ-closed sets (in the sense ofÁ. Császár). Furthermore, g-closed sets (in the sense of N. Levine) is a special type of µg-closed sets in a topological space. Some of their properties are investigated here. Finally, some characterizations of µ-regular and µ-normal spaces have been given.</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 a type of generalized open sets","attachmentId":43778237,"attachmentType":"pdf","work_url":"https://www.academia.edu/23318559/On_a_type_of_generalized_open_sets","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/23318559/On_a_type_of_generalized_open_sets"><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="6" data-entity-id="57956571" 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/57956571/gamma_Regular_Open_Sets_and_gamma_Extremally_Disconnected_Spaces">gamma-Regular-Open Sets and gamma-Extremally Disconnected 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="134248540" href="https://independent.academia.edu/ZurniOmar">Zurni Omar</a></div><p class="ds-related-work--abstract ds2-5-body-sm">The aim of this paper is to introduce a new class of sets called γ-regular-open sets in topological spaces (X, τ) with an operation γ on τ together with its complement which is γ-regular-closed. Also to define a new space called γ-extremally disconnected, and to obtain several characterizations of γ-extremally disconnected spaces by utilizing γ-regular-open sets and γ-regular-closed sets. Further γ-locally indiscrete and γ-hyperconnected spaces have been defined.</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":"gamma-Regular-Open Sets and gamma-Extremally Disconnected Spaces","attachmentId":72602227,"attachmentType":"pdf","work_url":"https://www.academia.edu/57956571/gamma_Regular_Open_Sets_and_gamma_Extremally_Disconnected_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/57956571/gamma_Regular_Open_Sets_and_gamma_Extremally_Disconnected_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="7" data-entity-id="43861486" 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/43861486/On_Minimal_and_Maximal_Regular_Open_Sets">On Minimal and Maximal Regular Open Sets</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="13473331" href="https://independent.academia.edu/KevinNelson2">Horizon Research Publishing(HRPUB) Kevin Nelson</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Mathematics and Statistics, 2017</p><p class="ds-related-work--abstract ds2-5-body-sm">The purpose of this paper is to investigate the concepts of minimal and maximal regular open sets and their relations with minimal and maximal open sets. We study several properties of such concepts in a semi-regular space. It is mainly shown that if X is a semi-regular space, then m i O(X) = m i RO(X). We introduce and study new type of sets called minimal regular generalized closed. A special interest type of topological space called rT min space is studied and obtain some of its basic properties.</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 Minimal and Maximal Regular Open Sets","attachmentId":64184938,"attachmentType":"pdf","work_url":"https://www.academia.edu/43861486/On_Minimal_and_Maximal_Regular_Open_Sets","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/43861486/On_Minimal_and_Maximal_Regular_Open_Sets"><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="86217472" 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/86217472/On_p_open_sets_in_topological_spaces">On p-open sets in 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="7209569" href="https://independent.academia.edu/NehmatAhmed">Nehmat Ahmed</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Kirkuk University Journal-Scientific Studies, 2007</p><p class="ds-related-work--abstract ds2-5-body-sm">The aim of this paper is to introduce and study some properties of pre--open sets,and study a new class of spaces, called  p-regular space. Determine some properties of  p-regularity and compare with other types of regular spaces.</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 p-open sets in topological spaces","attachmentId":90721711,"attachmentType":"pdf","work_url":"https://www.academia.edu/86217472/On_p_open_sets_in_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/86217472/On_p_open_sets_in_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="126220223" 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/126220223/On_New_Types_of_Sets_Via_%CE%B3_open_Sets_in_a_Topological_Spaces">On New Types of Sets Via γ-open Sets in (𝑎)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="327841696" href="https://independent.academia.edu/SheetalLuthra1">Sheetal Luthra</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Cubo (Temuco), 2018</p><p class="ds-related-work--abstract ds2-5-body-sm">In this paper, we introduced the notion of γ-semi-open sets and γ-P-semi-open sets in (a)topological spaces which is a set equipped with countable number of topologies. Several properties of these notions are discussed. RESUMEN En este artículo, introducimos la noción de conjuntos γ-semi-abiertos y conjuntos γ-Psemi-abiertos en espacios (a)topológicos, el cual es un conjunto dotado con una cantidad numerable de topologías. Discutimos diversas propiedades de estas nociones.</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 New Types of Sets Via γ-open Sets in (𝑎)Topological Spaces","attachmentId":120130496,"attachmentType":"pdf","work_url":"https://www.academia.edu/126220223/On_New_Types_of_Sets_Via_%CE%B3_open_Sets_in_a_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/126220223/On_New_Types_of_Sets_Via_%CE%B3_open_Sets_in_a_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":85608824,"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":85608824,"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_85608824" 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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