The $k$-quotient images of metric spaces
Commun. Korean Math. Soc. 2012 Vol. 27, No. 2, 377-384
Printed June 1, 2012
Shou Lin and Chunyan Zheng
Ningde Teachers' College, Ningde Teachers' College
Abstract : In this paper some properties of sequentially closed sets and $k$-closed sets in a topological space are discussed, it is shown that a space is a $k$-quotient image of a metric space if and only if its each sequentially closed set is $k$-closed, and some related examples about connectedness are obtained.
Keywords : sequentially closed sets, $k$-closed sets, $k$-quotient mappings, sequentially quotient mappings, connectedness
MSC numbers : 54B15, 54C10, 54D05, 54D50, 54D55
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