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  1. More on the pressing down game.Jakob Kellner & Saharon Shelah - 2011 - Archive for Mathematical Logic 50 (3-4):477-501.
    We investigate the pressing down game and its relation to the Banach Mazur game. In particular we show: consistently, there is a nowhere precipitous normal ideal I on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\aleph_2}$$\end{document} such that player nonempty wins the pressing down game of length \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\aleph_1}$$\end{document} on I even if player empty starts.
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  • Some properties of κ-complete ideals defined in terms of infinite games.Thomas J. Jech - 1984 - Annals of Pure and Applied Logic 26 (1):31-45.
  • Some properties of kappa-complete ideals defined in terms of infinite games.T. J. Jech - 1984 - Annals of Pure and Applied Logic 26 (1):31.
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