Winning the pressing down game but not Banach-Mazur

DOI10.2178/jsl/1203350789zbMath1134.03030arXivmath/0609655OpenAlexW2157979950MaRDI QIDQ5444703

Jakob Kellner, Matti Pauna, Saharon Shelah

Publication date: 25 February 2008

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609655

zbMATH Keywords

Banach-Mazur gamemeasurable cardinalstationary subset

Mathematics Subject Classification ID

2-person games (91A05) Games involving topology, set theory, or logic (91A44) Consistency and independence results (03E35) Large cardinals (03E55)

Related Items (1)

More on the pressing down game

Cites Work

• More game-theoretic properties of Boolean algebras
• Some properties of \(\kappa\)-complete ideals defined in terms of infinite games
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Large normal ideals concentrating on a fixed small cardinality
• Cofinalities of elementary substructures of structures on \(\aleph_ \omega\)
• Some results on the nonstationary ideal
• Precipitous ideals
• On ideals of sets and the power set operation
• More on the Ehrenfeucht–Fraisse game of length ω₁

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