Geodesic
On $\beta $-favorability of the strong Choquet game
László Zsilinszky1
1 Department of Mathematics and Computer Science The University of North Carolina at Pembroke Pembroke, NC 28372, U.S.A.
Colloquium Mathematicum, Tome 125 (2011) no. 2, pp. 233-243

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In the main result, partially answering a question of Telgársky, the following is proven: if $X$ is a first countable $R_0$-space, then player $\beta $ (i.e. the EMPTY player) has a winning strategy in the strong Choquet game on $X$ if and only if $X$ contains a nonempty $W_{\delta }$-subspace which is of the first category in itself.
DOI : 10.4064/cm125-2-8
Keywords: main result partially answering question telg rsky following proven first countable space player beta empty player has winning strategy strong choquet game only contains nonempty delta subspace which first category itself

László Zsilinszky 1

1 Department of Mathematics and Computer Science The University of North Carolina at Pembroke Pembroke, NC 28372, U.S.A. 
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László Zsilinszky. On $\beta $-favorability of the strong Choquet game. Colloquium Mathematicum, Tome 125 (2011) no. 2, pp. 233-243. doi: 10.4064/cm125-2-8

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