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 א2 such that player nonempty wins the pressing down game of length א1on I even if player empty starts.
Original language | English |
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Pages (from-to) | 477-501 |
Number of pages | 25 |
Journal | Archive for Mathematical Logic |
Volume | 50 |
Issue number | 3-4 |
DOIs | |
State | Published - May 2011 |
Keywords
- Forcing
- Infinite games
- Large cardinals
- Precipitous ideals
- Set theory