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

13 years 4 months ago

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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. c 2007 Elsevier B.V. All rights reserved.

James Cummings, Natasha Dobrinen

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