Models in which every nonmeager set is nonmeager in a nowhere dense Cantor set

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dc.creatorBurke, Maxim R.
dc.creatorMiller, Arnold W.
dc.date2003-11-25
dc.date.accessioned2026-07-07T05:03:15Z
dc.date.available2026-07-07T05:03:15Z
dc.descriptionWe prove that it is relatively consistent with ZFC that in any perfect Polish space, for every nonmeager set A there exists a nowhere dense Cantor set C such that A intersect C is nonmeager in C. We also examine variants of this result and establish a measure theoretic analog.
dc.descriptionLaTex2e, 12 pages
dc.identifierhttps://arxiv.org/abs/math/0311443
dc.identifierhttp://arxiv.org/abs/math/0311443
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69338
dc.subjectLogic
dc.subject03E35
dc.titleModels in which every nonmeager set is nonmeager in a nowhere dense Cantor set
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