κ-stationary subsets of , infinitary games, and distributive laws in Boolean algebras

DOI10.2178/JSL/1208358752zbMath1142.03031OpenAlexW2121572010MaRDI QIDQ5387311

Natasha Dobrinen

Publication date: 8 May 2008

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

Full work available at URL: https://projecteuclid.org/euclid.jsl/1208358752

zbMATH Keywords

Boolean algebradistributivity law\(\kappa\)-stationary setcut and choose games

Mathematics Subject Classification ID

Games involving topology, set theory, or logic (91A44) Other combinatorial set theory (03E05) Structure theory of Boolean algebras (06E05) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (4)

The secret life of \(\mu\)-clubs ⋮ When \(P_\kappa(\lambda)\) (vaguely) resembles \(\kappa\) ⋮ The hyper-weak distributive law and a related game in Boolean algebras ⋮ Ideals on \({P_{\kappa}(\lambda)}\) associated with games of uncountable length

Cites Work

• Unnamed Item
• More game-theoretic properties of Boolean algebras
• Consistency of Menas's conjecture
• On the weak distributivity game
• On the \(\kappa\)-cub game on \(\lambda\) and \(I[\lambda\)]
• Stationary logic and its friends. II
• On potential isomorphism and non-structure
• Large cardinals and definable counterexamples to the continuum hypothesis
• More on the cut and choose game
• Games and general distributive laws in Boolean algebras
• Perfect-set forcing for uncountable cardinals
• Countable approximations and Löwenheim-Skolem theorems
• Löwenheim-Skolem and interpolation theorems in infinitary languages

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