ON A FINER TOPOLOGICAL SPACE THAN ?? AND SOME MAPS

dc.authoridLatif, Raja Mohammad/0000-0003-3140-9581
dc.contributor.authorEkici, E.
dc.contributor.authorJafari, S.
dc.contributor.authorLatif, R. M.
dc.date.accessioned2025-01-27T21:24:14Z
dc.date.available2025-01-27T21:24:14Z
dc.date.issued2010
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractIn 1943, Fomin [7] introduced the notion of theta-continuity. In 1966, the notions of theta-open subsets, theta-closed subsets and theta-closure were introduced by Velieko [18] for the purpose of studying the important class of H-closed spaces in terms of arbitrary filterbases. He also showed that the collection of theta-open sets in a topological space (X,tau) forms a topology on X denoted by tau(theta) (see also [12]). Dickman and Porter [4], [5], Joseph [11] continued the work of Velieko. Noiri and Jafari [15], Caldas et al. [1] and [2], Steiner [16] and Cao et al [3] have also obtained several new and interesting results related to these sets. In this paper, we will offer a finer topology on X than tau(theta) by utilizing the new notions of omega(theta)-open and omega(theta)-closed sets. We will also discuss some of the fundamental properties of such sets and some related maps.
dc.identifier.endpage304
dc.identifier.issn1126-8042
dc.identifier.issn2239-0227
dc.identifier.issue27
dc.identifier.startpage293
dc.identifier.urihttps://hdl.handle.net/20.500.12428/29473
dc.identifier.wosWOS:000214355300023
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherForum Editrice Univ Udinese
dc.relation.ispartofItalian Journal of Pure and Applied Mathematics
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjecttopological spaces
dc.subjecttheta-open sets
dc.subjecttheta-closed sets
dc.subjectomega(theta)-open sets
dc.subjectomega(theta)-closed sets
dc.subjectanti locally countable
dc.subjectomega(theta)-continuity
dc.titleON A FINER TOPOLOGICAL SPACE THAN ?? AND SOME MAPS
dc.typeArticle

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