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  1. The Hyper-Weak Distributive Law and a Related Game in Boolean Algebras.James Cummings & Natasha Dobrinen - 2007 - Annals of Pure and Applied Logic 149 (1-3):14-24.
    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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  • When P(Λ) (Vaguely) Resembles Κ.Pierre Matet - 2021 - Annals of Pure and Applied Logic 172 (2):102874.
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  • Ideals on $${P_{\kappa}}$$ P Κ Associated with Games of Uncountable Length.Pierre Matet - 2015 - Archive for Mathematical Logic 54 (3-4):291-328.
    We study normal ideals on Pκ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${P_{\kappa} }$$\end{document} that are defined in terms of games of uncountable length.
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