On β-favorability of the strong Choquet game
Colloquium Mathematicae (2011)
- Volume: 125, Issue: 2, page 233-243
- ISSN: 0010-1354
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topLászló Zsilinszky. "On β-favorability of the strong Choquet game." Colloquium Mathematicae 125.2 (2011): 233-243. <http://eudml.org/doc/284053>.
@article{LászlóZsilinszky2011,
abstract = {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 $W_\{δ\}$-subspace which is of the first category in itself.},
author = {László Zsilinszky},
journal = {Colloquium Mathematicae},
keywords = {strong Choquet game; Banach-Mazur game; (hereditarily) Baire space; sieve; -set; Vietoris topology; Tychonoff plank; -space},
language = {eng},
number = {2},
pages = {233-243},
title = {On β-favorability of the strong Choquet game},
url = {http://eudml.org/doc/284053},
volume = {125},
year = {2011},
}
TY - JOUR
AU - László Zsilinszky
TI - On β-favorability of the strong Choquet game
JO - Colloquium Mathematicae
PY - 2011
VL - 125
IS - 2
SP - 233
EP - 243
AB - 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 $W_{δ}$-subspace which is of the first category in itself.
LA - eng
KW - strong Choquet game; Banach-Mazur game; (hereditarily) Baire space; sieve; -set; Vietoris topology; Tychonoff plank; -space
UR - http://eudml.org/doc/284053
ER -
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