Proceedings of the American Mathematical Society

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Reflecting point-countable families

Author(s): Zoltan T. Balogh
Journal: Proc. Amer. Math. Soc. 131 (2003), 1289-1296.
MSC (2000): Primary 54E35, 54A35, 54D20
Posted: July 25, 2002
MathSciNet review: 1948122
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Abstract: It is shown that if every $\leq \omega _{1}$ -sized subspace of a (regular) space of density $\leq \omega _{1}$ 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.

References:

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