On a uniform analogue of paracompact spaces

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dc.contributor.authorKanetov, Bekbolot
dc.contributor.authorBaidzhuranova, Anara
dc.date.accessioned2024-07-12T20:49:38Z
dc.date.available2024-07-12T20:49:38Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this work we introduce and study uniformly paracompact spaces. In particular, the characterizations of uniformly paracompact spaces by using Hausdorff compact extensions and mappings are obtained. Definition 1. A uniform space (X, U) is called uniformly paracompact if every finitely additive open cover of X has a ?-locally finite uniform refinement. Theorem 1. If (X, U) is a uniform paracompact space, then the topological space (X, ?U ) is paracompact. Conversely, if (X, ? ) is paracompact, then the uniform space (X, UX), where UX is the universal uniformity, is uniformly paracompact.en_US
dc.identifier.citationKanetov, B. ve Baidzhuranova, A. (2019). On a uniform analogue of paracompact spaces. International Conference of Mathematical Sciences (ICMS 2019). s.15.en_US
dc.identifier.endpage15en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage15en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2192
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01557
dc.subjectUniform paracompactnessen_US
dc.subjectFinitely additive open coveringen_US
dc.subject?-locally finite uniform coveringen_US
dc.titleOn a uniform analogue of paracompact spacesen_US
dc.typeArticle
dspace.entity.typePublication

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