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Discrete Sets of Singular Cardinality

Fleissner, William G.
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Abstract
Let « be a singular cardinal. In Fleissner's thesis, he showed that in normal spaces X, certain discrete sets Y of cardinality a (called here sparse) which are < ic-separated are, in fact, separated. In Watson's thesis, he proves the same for countably paracompact spaces X. Here we improve these results by making no assumption on the space X. As a corollary, we get that assuming V = L, S,-paralindelöf 7", spaces of character « co, are collectionwise Hausdorff.
Description
This is the published version, also available here: http://www.dx.doi.org/10.1090/S0002-9939-1983-0702311-9. First published in Proceedings of the AMS in 1983, published by the American Mathematical Society.
Date
1983-08-02
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American Mathematical Society
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Keywords
Discrete, singular cardinals, collectionsiws Hausdorff
Citation
Flesinner, William G. "Discrete Sets of Singular Cardinality." Proc. AMS. (1983) 88, 4. 743-745. http://www.dx.doi.org/10.1090/S0002-9939-1983-0702311-9.
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