On β-favorability of the strong Choquet game

• Autorzy: László Zsilinszky
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54E52: Baire category, Baire spaces
• 91A44: Games involving topology or set theory
• 54B20: Hyperspaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 125
• Numer: 2
• Strony: 233-243

Daty

wydano

2011

Twórcy

autor

László Zsilinszky

• Department of Mathematics and Computer Science, The University of North Carolina at Pembroke, Pembroke, NC 28372, U.S.A.

Identyfikatory

DOI

10.4064/cm125-2-8