A space with only Borel subsets

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dc.creatorShelah, Saharon
dc.date2000-09-05
dc.date.accessioned2026-07-07T04:37:12Z
dc.date.available2026-07-07T04:37:12Z
dc.descriptionMiklos Laczkovich asked if there exists a Haussdorff (or even normal) space in which every subset is Borel yet it is not meager. The motivation of the last condition is that under MA_kappa every subspace of the reals of cardinality kappa has the property that all subsets are F_sigma, however Martin's axiom also implies that these subsets are meager. Here we answer Laczkovich' question.
dc.identifierhttps://arxiv.org/abs/math/0009047
dc.identifierhttp://arxiv.org/abs/math/0009047
dc.identifierPeriod. Math. Hungar. 40 No. 2 (2000) 81--84
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59866
dc.subjectLogic
dc.subjectGeneral Topology
dc.titleA space with only Borel subsets
dc.typetext

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