Coding strategies, the Choquet game, and domain representability (Q260593)

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scientific article; zbMATH DE number 6559134
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Coding strategies, the Choquet game, and domain representability
scientific article; zbMATH DE number 6559134

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    Coding strategies, the Choquet game, and domain representability (English)
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    21 March 2016
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    Let \(X\) be a regular space. In the paper under review, the author proves that if the NONEMPTY player has a winning strategy in the strong Choquet game \(\mathrm{Ch}(X)\) then NONEMPTY has a winning coding strategy in \(\mathrm{Ch}(X)\) (a strategy that depends only on the opponent's previous move and the NONEMPTY's own previous move). She proves also that any regular domain representable space is generalized subcompact.
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    domain representable
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    subcompact
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    Choquet game
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    Banach-Mazur game
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