On a theorem of Banach and Kuratowski and K-Lusin sets

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dc.creatorBartoszynski, Tomek
dc.creatorHalbeisen, Lorenz
dc.date2001-07-23
dc.date.accessioned2026-07-07T04:42:41Z
dc.date.available2026-07-07T04:42:41Z
dc.descriptionIn a paper of 1929, Banach and Kuratowski proved, assuming the continuum hypothesis, a combinatorial theorem which implies that there is no non-vanishing sigma-additive finite measure on the real line which is defined for every set of reals. It will be shown that the combinatorial theorem is equivalent to the existence of a K-Lusin set of size the continuum and that the existence of such sets is independent of ZFC plus non CH.
dc.identifierhttps://arxiv.org/abs/math/0107165
dc.identifierhttp://arxiv.org/abs/math/0107165
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61890
dc.subjectLogic
dc.subject03E35 (Primary) 03E17 03E05 (Secondary)
dc.titleOn a theorem of Banach and Kuratowski and K-Lusin sets
dc.typetext

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