Products of Baire Spaces Revisited

UNCP Author/Contributor (non-UNCP co-authors, if there are any, appear on document)
Dr. Laszlo Zsilinszky, Professor (Creator)
The University of North Carolina at Pembroke (UNCP )
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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.

Additional Information

Fundamenta Mathematica Vol. 183
Language: English
Date: 2004
Baire spaces, Tikhonov product, box product, ccc property, countable-in-itself p-base, (almost locally) universally Kuratowski–Ulam spaces.

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