2002/08/23 by Aarno Hohti, Miroslav Hus̆ek, Hohti, Aarno +4
Mathematics · #54B10 #54D20 #54E15 #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Homotopy and Cohomology in Algebraic Topology #Rings, Modules, and Algebras #math.GN #msc:54B10 #msc:54D20 #msc:54E15
paper · pdf · doi:10.48550/arxiv.math/0208182
15 pages
arxiv created 2002/08/23 · openalex publication_date 2002/08/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that the countable product of supercomplete spaces having a countable closed cover consisting of partition-complete subspaces is supercomplete with respect to its metric-fine coreflection. Thus, countable products of sigma-partition-complete paracompact spaces are again paracompact. On the other hand, we show that in arbitrary products of partition-complete paracompact spaces, all normal covers can be obtained via the locally fine coreflection of the product of fine uniformities.