On $\beta $-favorability of the strong Choquet game
Tom 125 / 2011
Colloquium Mathematicum 125 (2011), 233-243
MSC: Primary 91A44; Secondary 54E52, 54B20.
DOI: 10.4064/cm125-2-8
Streszczenie
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.
