More on the pressing down game

Details More on the pressing down game More on the pressing down game

2009-05-24

arxiv.org/abs/0905.3913v2

Arch. Math. Logic 50 (2011), No. 3, 477--501

Mathematics

Logic

Scientific paper

10.1007/s00153-011-0227-x

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.

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