Products of Baire Spaces Revisited
- 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: Generalizing a theorem of Oxtoby, it is shown that an arbitrary product of Baire spaces which are almost locally universally Kuratowski–Ulam (in particular, have countable-in-itself p-bases) is a Baire space. Also, partially answering a question of Fleissner, it is proved that a countable box product of almost locally universally Kuratowski– Ulam Baire spaces is a Baire space.
Products of Baire Spaces Revisited
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Additional Information
- Publication
- Fundamenta Mathematica Vol. 183
- Language: English
- Date: 2004
- Keywords
- Baire spaces, Tikhonov product, box product, ccc property, countable-in-itself p-base, (almost locally) universally Kuratowski–Ulam spaces.