More on the pressing down game

Jakob Kellner*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)477-501
Number of pages25
JournalArchive for Mathematical Logic
Volume50
Issue number3-4
DOIs
StatePublished - May 2011

Keywords

  • Forcing
  • Infinite games
  • Large cardinals
  • Precipitous ideals
  • Set theory

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