The hyper-weak distributive law and a related game in Boolean algebras

Annals of Pure and Applied Logic 149 (1-3):14-24 (2007)
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Abstract

We discuss the relationship between various weak distributive laws and games in Boolean algebras. In the first part we give some game characterizations for certain forms of Prikry’s “hyper-weak distributive laws”, and in the second part we construct Suslin algebras in which neither player wins a certain hyper-weak distributivity game. We conclude that in the constructible universe L, all the distributivity games considered in this paper may be undetermined

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More game-theoretic properties of boolean algebras.Thomas J. Jech - 1984 - Annals of Pure and Applied Logic 26 (1):11-29.
Games played on Boolean algebras.Matthew Foreman - 1983 - Journal of Symbolic Logic 48 (3):714-723.
On the weak distributivity game.Anastasis Kamburelis - 1994 - Annals of Pure and Applied Logic 66 (1):19-26.

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