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• W1977183784 abstract "In this paper we show that the Proper Forcing Axiom (PFA) is preserved under forcing over any poset P with the following property: In the generalized Banach–Mazur game over P of length (ω1+1), Player II has a winning strategy which depends only on the current position and the ordinal indicating the number of moves made so far. By the current position we mean: The move just made by Player I for a successor stage, or the infimum of all the moves made so far for a limit stage. As a consequence of this theorem, we introduce a weak form of the square principle and show that it is consistent with PFA." @default.
• W1977183784 created "2016-06-24" @default.
• W1977183784 creator A5057269032 @default.
• W1977183784 date "2013-08-01" @default.
• W1977183784 modified "2023-10-05" @default.
• W1977183784 title "Operations, climbability and the proper forcing axiom" @default.
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• W1977183784 doi "https://doi.org/10.1016/j.apal.2012.11.010" @default.
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