On ß-favorability of the strong Choquet game
- UNCP Author/Contributor (non-UNCP co-authors, if there are any, appear on document)
- Dr. Laszlo Zsilinszky, Professor (Creator)
- Institution
- The University of North Carolina at Pembroke (UNCP )
- Web Site: http://www.uncp.edu/academics/library
Abstract: In the main result, partially answering a question of Telg´arsky,the following is proven: if X is a 1st countable R0-space, then player ß (i.e. the EMPTY player) has a winning strategy in the strong Choquet game on X if and only if X contains a nonempty Wd-subspace which is of the 1st category in itself.
On ß-favorability of the strong Choquet game
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Additional Information
- Publication
- Colloquium Mathematicae Vol. 125, Issue 2
- Language: English
- Date: 2011
- Keywords
- Strong Choquet game, Banach-Mazur game, (hereditarily)Baire space, sieve, Wd-set, Vietoris topology, Tychonoff plank, R0-space.