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 The $k$-quotient images of metric spaces Commun. Korean Math. Soc. 2012 Vol. 27, No. 2, 377-384 https://doi.org/10.4134/CKMS.2012.27.2.377Printed 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 Downloads: Full-text PDF

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