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/