More on the pressing down game

Jakob Kellner; Saharon Shelah

doi:10.1007/s00153-011-0227-x

More on the pressing down game

Jakob Kellner^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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
Pages (from-to)	477-501
Number of pages	25
Journal	Archive for Mathematical Logic
Volume	50
Issue number	3-4
DOIs	https://doi.org/10.1007/s00153-011-0227-x
State	Published - May 2011

Keywords

Forcing
Infinite games
Large cardinals
Precipitous ideals
Set theory

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10.1007/s00153-011-0227-x

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KW - Infinite games

KW - Large cardinals

KW - Precipitous ideals

KW - Set theory

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More on the pressing down game

Abstract

Keywords

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