Separation and connectedness in the category of constant filter convergence spaces

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dc.contributor.authorErciyes, Ayhan
dc.contributor.authorBaran, Tesnim Meryem
dc.date.accessioned2025-07-18T06:46:08Z
dc.date.available2025-07-18T06:46:08Z
dc.date.issued2025
dc.departmentSabire Yazıcı Fen Edebiyat Fakültesi
dc.description.abstractThe purpose of this work is to introduce two notions of closure in the category ConFCO of constant filter convergence spaces with continuous maps and investigate whether they satisfy the idempotency, productivity, (weak) hereditariness, and (full) additiveness as well as examine how they are related to each other. Moreover, we characterize each of Ti, i = 1, 2 spaces with respect to these closures and examine epimorphisms in the subcategories of ConFCO. Furthermore, we give the characterization of connected constant filter convergence spaces and investigate some invariance properties of them. Finally, we compare our results with results in some other topological categories.
dc.identifier.doi10.2298/FIL2502587E
dc.identifier.endpage600
dc.identifier.issn03545180
dc.identifier.issue2
dc.identifier.scopus85218147682
dc.identifier.startpage587
dc.identifier.urihttps://dx.doi.org/10.2298/FIL2502587E
dc.identifier.urihttps://hdl.handle.net/20.500.12451/13371
dc.identifier.volume39
dc.identifier.wosWOS:001470406700015
dc.identifier.wosqualityQ3
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorErciyes, Ayhan
dc.institutionauthorBaran, Tesnim Meryem
dc.language.isoen
dc.publisherUniversity of Nis
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectClosure Operator
dc.subjectConnected Spaces
dc.subjectConstant Filter Convergence Spaces
dc.subjectSeparation
dc.titleSeparation and connectedness in the category of constant filter convergence spaces
dc.typeArticle

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