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arXiv:0905.3913 [math.LO]AbstractReferencesReviewsResources

More on the pressing down game

Jakob Kellner, Saharon Shelah

Published 2009-05-24, updated 2010-12-06Version 2

We investigate the pressing down game and its relation to the Banach Mazur game. In particular we show: Consistently, there is a nowhere precipitous normal ideal $I$ on $\aleph_2$ such that player nonempty wins the pressing down game of length $\aleph_1$ on $I$ even if player empty starts.

Journal: Arch. Math. Logic 50 (2011), No. 3, 477--501
Categories: math.LO
Subjects: 03E35, 03E55
Related articles:
arXiv:math/0609655 [math.LO] (Published 2006-09-25, updated 2007-02-17)
Winning the pressing down game but not Banach Mazur