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http://dx.doi.org/10.4134/CKMS.2010.25.3.477

ON SPACES IN WHICH THE THREE MAIN KINDS OF COMPACTNESS ARE EQUIVALENT  

Hong, Woo-Chorl (DEPARTMENT OF MATHEMATICS EDUCATION PUSAN NATIONAL UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.25, no.3, 2010 , pp. 477-484 More about this Journal
Abstract
In this paper, we introduce a new property (*) of a topological space and prove that if X satisfies one of the following conditions (1) and (2), then compactness, countable compactness and sequential compactness are equivalent in X; (1) Each countably compact subspace of X with (*) is a sequential or AP space. (2) X is a sequential or AP space with (*).
Keywords
Fr$\acute{e}$chet-Urysohn; sequential; AP; WAP; countable tightness; weakly discretely generated; compact; countably compact; sequentially compact and property(*);
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Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By SCOPUS : 0
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