Discrete Sets of Singular Cardinality

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Issue Date
1983-08-02Author
Fleissner, William G.
Publisher
American Mathematical Society
Type
Article
Article Version
Scholarly/refereed, publisher version
Metadata
Show full item recordAbstract
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.
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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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