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ON SPACES IN WHICH THE THREE MAIN KINDS OF COMPACTNESS ARE EQUIVALENT
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 Title & Authors
ON SPACES IN WHICH THE THREE MAIN KINDS OF COMPACTNESS ARE EQUIVALENT
Hong, Woo-Chorl;
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 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
Frchet-Urysohn;sequential;AP;WAP;countable tightness;weakly discretely generated;compact;countably compact;sequentially compact and property(*);
 Language
English
 Cited by
 References
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