Kanetov, BekbolotBaidzhuranova, Anara2024-07-122024-07-122019Kanetov, B. ve Baidzhuranova, A. (2019). On a uniform analogue of paracompact spaces. International Conference of Mathematical Sciences (ICMS 2019). s.15.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2192In 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.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessUniform paracompactnessFinitely additive open covering?-locally finite uniform coveringArticle1515