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arXiv · 0905.3913

More on the pressing down game

Jakob Kellner·Saharon Shelah
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Abstract

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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Jakob Kellner, Saharon Shelah. 2010-12-06. More on the pressing down game. https://doi.org/10.1007/s00153-011-0227-x

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