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We prove several properties of the introduced classes of sets, and finally as application, we initiate the study of a kind of separation axiom, termed $* - T_{{1 \\over 2}}$ -property.","publisher":"Walter de Gruyter GmbH","publication_date":"2015,,","publication_name":"Annals of West University of Timisoara - Mathematics and Computer Science"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"On certain types of sets in ideal topological spaces","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [1965307]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "full_page_mobile_sutd_modal"; 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":68541977,"attachmentType":"pdf"}"><img alt="First page of “On certain types of sets in ideal topological spaces”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/68541977/mini_magick20210803-17121-18oezau.png?1627989760" /><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">On certain types of sets 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="1965307" href="https://independent.academia.edu/DhananjoyMandal"><img alt="Profile image of Dhananjoy Mandal" class="ds-work-card--author-avatar" src="//a.academia-assets.com/images/s65_no_pic.png" />Dhananjoy Mandal</a></div><p class="ds-work-card--detail ds2-5-body-sm">2015, Annals of West University of Timisoara - Mathematics and Computer Science</p><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">In the present article we introduce certain typical sets in an ideal topological space, some such corresponding versions in topological spaces being already there in the literature. 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class="ds-related-work--abstract ds2-5-body-sm">In this paper, we define and study the notions of ΛIs-sets, ΛIs-closed sets and I-generalized semi-closed (briefly I-gs-closed) sets by using semi-I-open sets in an ideal topological space. 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