Reflecting point-countable families

Author:
Zoltan T. Balogh

Journal:
Proc. Amer. Math. Soc. **131** (2003), 1289-1296

MSC (2000):
Primary 54E35, 54A35, 54D20

DOI:
https://doi.org/10.1090/S0002-9939-02-06621-2

Published electronically:
July 25, 2002

MathSciNet review:
1948122

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Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that if every -sized subspace of a (regular) space of density has a point-countable base, then so does . Similar results hold for meta-Lindelöfness. Dow's reflection theorem and a number of other results are deduced as corollaries and applications.

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Additional Information

**Zoltan T. Balogh**

Affiliation:
Department of Mathematics & Statistics, Miami University, Oxford, Ohio 45056

Email:
baloghzt@muohio.edu

DOI:
https://doi.org/10.1090/S0002-9939-02-06621-2

Keywords:
Point-countable,
reflection

Received by editor(s):
July 31, 2001

Received by editor(s) in revised form:
November 2, 2001

Published electronically:
July 25, 2002

Communicated by:
Alan Dow

Article copyright:
© Copyright 2002
American Mathematical Society