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Reflecting point-countable families

Authors :
Zoltan Balogh
Source :
Proceedings of the American Mathematical Society. 131:1289-1296
Publication Year :
2002
Publisher :
American Mathematical Society (AMS), 2002.

Abstract

It is shown that if every ≤ ω 1 -sized subspace of a (regular) space X of density ≤ ω 1 has a point-countable base, then so does X. Similar results hold for meta-Lindelofness. Dow's reflection theorem and a number of other results are deduced as corollaries and applications.

Details

ISSN :
10886826 and 00029939
Volume :
131
Database :
OpenAIRE
Journal :
Proceedings of the American Mathematical Society
Accession number :
edsair.doi...........1f68b6501f7588abfc40065d8f6c1219