On compactifications of an orbit space

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dc.contributor.authorOnat, Mehmet
dc.date.accessioned2025-03-23T19:27:07Z
dc.date.available2025-03-23T19:27:07Z
dc.date.issued2024
dc.departmentSinop Üniversitesi
dc.description.abstractOne of the important research topics in the theory of topological transformation groups is to examine the relationships between the topological properties of a G-space X and the orbit space X / G . In [7], Antonyan and Smirnov studied the relationship between the Stone-Cech compactification of a completely regular space and the Stone-Cech compactification of the orbit space. A similar study was done for the Hewitt realcompactification in [8, 14]. In this paper, we obtain that the c-realcompactification of the orbit space X / G is homeomorfic to the orbit space of the c-realcompactification of X , when G is a finite discrete group and X is a completely regular G-space. We will also show a similar result for almost realcompactification.
dc.identifier.doi10.2298/FIL2429253O
dc.identifier.endpage10259
dc.identifier.issn0354-5180
dc.identifier.issue29
dc.identifier.scopus2-s2.0-85214808324
dc.identifier.scopusqualityQ3
dc.identifier.startpage10253
dc.identifier.urihttps://doi.org/10.2298/FIL2429253O
dc.identifier.urihttps://hdl.handle.net/11486/4845
dc.identifier.volume38
dc.identifier.wosWOS:001390005600001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorOnat, Mehmet
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectc-realcompactification
dc.subjectalmost realcompactification
dc.subjectorbit space
dc.subjectgroup action
dc.titleOn compactifications of an orbit space
dc.typeArticle

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