The Locally Fine Coreflection and Normal Covers in the Products of Partition-complete Spaces

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dc.creatorHohti, Aarno
dc.creatorHusek, Miroslav
dc.creatorPelant, Jan
dc.date2002-08-23
dc.date.accessioned2026-07-07T04:50:21Z
dc.date.available2026-07-07T04:50:21Z
dc.descriptionWe 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.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0208182
dc.identifierhttp://arxiv.org/abs/math/0208182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64764
dc.subjectGeneral Topology
dc.subject54B10;54E15;54D20
dc.titleThe Locally Fine Coreflection and Normal Covers in the Products of Partition-complete Spaces
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