Answering a question of Telgársky in the negative, it is shown that there is a space which is β-favorable in the strong Choquet game, but all of its nonempty -subspaces are of the second category in themselves.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm130-1-6, author = {L\'aszl\'o Zsilinszky}, title = {On Telg\'arsky's question concerning $\beta$-favorability of the strong Choquet game}, journal = {Colloquium Mathematicae}, volume = {131}, year = {2013}, pages = {61-65}, zbl = {1275.91031}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm130-1-6} }
László Zsilinszky. On Telgársky's question concerning β-favorability of the strong Choquet game. Colloquium Mathematicae, Tome 131 (2013) pp. 61-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm130-1-6/