On Products of Baire Spaces
- 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: It is well-known, that if X ×Y is a Baire space, then X, Y are Baire as well, and the converse is not true in general. However, given a Baire topological space X, there is a rich literature of completeness properties for Y making X ×Y Baire. We will present a new such property, featuring spaces with a dense set of W-points that are ß-unfavorable in the strong Choquet game. Applications and limitations to arbitrary products of hereditarily Baire spaces and the Namioka property via so-called Krom spaces will be also discussed.
On Products of Baire Spaces
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Created on 1/15/2016
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Additional Information
- Publication
- 30th Summer Conference on Topology and Its Applications; Galway, Ireland
- Language: English
- Date: 2015
- Keywords
- Baire space, complete space, quasi-regular space, (proximal) hitand-miss topology, (proximal) Vietoris topology, (proximal) Fell topology, ball and ball-proximal topology, Wijsman topology