Resolvability vs. almost resolvability

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dc.creatorJuhasz, Istvan
dc.creatorShelah, Saharon
dc.creatorSoukup, Lajos
dc.date2007-02-11
dc.date.accessioned2026-07-07T07:46:18Z
dc.date.available2026-07-07T07:46:18Z
dc.descriptionA space X is kappa-resolvable (resp. almost kappa-resolvable) if it contains kappa dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere dense subsets of X). Answering a problem raised by Juhasz, Soukup, and Szentmiklossy, and improving a consistency result of Comfort and Hu, we prove, in ZFC, that for every infinite cardinal {kappa} there is an almost 2^{kappa}-resolvable but not {omega}_1-resolvable space of dispersion character {kappa} .
dc.identifierhttps://arxiv.org/abs/math/0702296
dc.identifierhttp://arxiv.org/abs/math/0702296
dc.identifierTopology Appl. 156 No. 11 (2009) 1966--1969
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123786
dc.subjectGeneral Topology
dc.subjectLogic
dc.titleResolvability vs. almost resolvability
dc.typetext

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