Winning the pressing down game but not Banach Mazur

dc.creatorKellner, Jakob
dc.creatorPauna, Matti
dc.creatorShelah, Saharon
dc.date2006-09-25
dc.date2007-02-17
dc.date.accessioned2026-07-07T09:28:58Z
dc.date.available2026-07-07T09:28:58Z
dc.descriptionLet $S$ be the set of those $α\inω_2$ that have cofinality $ω_1$. It is consistent relative to a measurable that the nonempty player wins the pressing down game of length $ω_1$, but not the Banach Mazur game of length $ω+1$ (both games starting with $S$).
dc.descriptionNew version: some improvements in presentation, references, history; main theorem slightly strengthened; some typos removed
dc.identifierhttps://arxiv.org/abs/math/0609655
dc.identifierhttp://arxiv.org/abs/math/0609655
dc.identifierJ. Symbolic Logic 72 (2007), No. 4, 1323--1335
dc.identifierdoi:10.2178/jsl/1203350789
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157618
dc.subjectLogic
dc.subject03E35;03E55
dc.titleWinning the pressing down game but not Banach Mazur
dc.typetext

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