Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2009; 24(1): 145-152

Printed March 1, 2009

Copyright © The Korean Mathematical Society.

Some necessary and sufficient conditions for a Fr\'echet-Urysohn space to be sequentially compact

Woo Chorl Hong

Pusan National University

Abstract

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In this paper, we introduce a new property of a topological space which is weaker than sequential compactness and give some necessary and sufficient conditions for a Fr\'echet-Urysohn space with the property to be sequentially compact.

Keywords: Fr\'echet-Urysohn, sequentially compact, P-closed, minimal P and property \clover

MSC numbers: 54A20, 54D25, 54D35, 54D99

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