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    Discrete Sets of Singular Cardinality

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    FleissnerW_PAMS_88(4)743.pdf (309.1Kb)
    Issue Date
    1983-08-02
    Author
    Fleissner, William G.
    Publisher
    American Mathematical Society
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Metadata
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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.
    URI
    http://hdl.handle.net/1808/16728
    DOI
    https://doi.org/10.1090/S0002-9939-1983-0702311-9
    Collections
    • Mathematics Scholarly Works [0]
    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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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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