On Arhangelskii's Problem

dc.creatorShelah, Saharon
dc.date1999-06-03
dc.date.accessioned2026-07-07T05:29:21Z
dc.date.available2026-07-07T05:29:21Z
dc.descriptionWe prove the consistency (modulo supercompact) of a negative answer to Arhangelskii's problem (some Hausdorff compact space cannot be partitioned to two sets not containing a closed copy of Cantor discontinuum). In this model we have CH. Without CH we get consistency results using a pcf assumption, close relatives of which are necessary for such results.
dc.descriptionPreliminary Report
dc.identifierhttps://arxiv.org/abs/math/9906025
dc.identifierhttp://arxiv.org/abs/math/9906025
dc.identifierSci. Math. Jpn. 59 No. 2 (2004) 203--255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78609
dc.subjectLogic
dc.subjectGeneral Topology
dc.titleOn Arhangelskii's Problem
dc.typetext

Files

Collections