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Commun. Korean Math. Soc. 2012; 27(2): 377-384
Printed June 1, 2012
https://doi.org/10.4134/CKMS.2012.27.2.377
Copyright © The Korean Mathematical Society.
The $k$-quotient images of metric spaces
Shou Lin and Chunyan Zheng
Ningde Teachers' College, Ningde Teachers' College
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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