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Discrete Sets of Singular Cardinality
dc.contributor.author | Fleissner, William G. | |
dc.date.accessioned | 2015-02-19T17:23:22Z | |
dc.date.available | 2015-02-19T17:23:22Z | |
dc.date.issued | 1983-08-02 | |
dc.identifier.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. | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/16728 | |
dc.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. | en_US |
dc.description.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. | en_US |
dc.publisher | American Mathematical Society | en_US |
dc.subject | Discrete | en_US |
dc.subject | singular cardinals | en_US |
dc.subject | collectionsiws Hausdorff | en_US |
dc.title | Discrete Sets of Singular Cardinality | en_US |
dc.type | Article | |
kusw.kuauthor | Fleisnner, William G. | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.1090/S0002-9939-1983-0702311-9 | |
kusw.oaversion | Scholarly/refereed, publisher version | |
kusw.oapolicy | This item does not meet KU Open Access policy criteria. | |
dc.rights.accessrights | openAccess |