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- W1566175320 abstract "It is well known that if the nonempty player of the Banach---Mazur game has a winning strategy on a space, then that space is Baire in all powers even in the box product topology. The converse of this implication may also be true: We know of no consistency result to the contrary. In this paper we establish the consistency of the converse relative to the consistency of the existence of a proper class of measurable cardinals." @default.
- W1566175320 created "2016-06-24" @default.
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- W1566175320 date "2015-12-19" @default.
- W1566175320 modified "2023-09-26" @default.
- W1566175320 title "Baire spaces and infinite games" @default.
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- W1566175320 doi "https://doi.org/10.1007/s00153-015-0461-8" @default.
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