On β-favorability of the strong Choquet game
László Zsilinszky
Colloquium Mathematicae, Tome 122 (2011), p. 233-243 / Harvested from The Polish Digital Mathematics Library
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In the main result, partially answering a question of Telgársky, the following is proven: if X is a first countable R₀-space, then player β (i.e. the EMPTY player) has a winning strategy in the strong Choquet game on X if and only if X contains a nonempty Wδ-subspace which is of the first category in itself.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:284053 
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     year = {2011},
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László Zsilinszky. On β-favorability of the strong Choquet game. Colloquium Mathematicae, Tome 122 (2011) pp. 233-243. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-8/