THE κ-QUOTIENT IMAGES OF METRIC SPACES

Title & Authors
THE κ-QUOTIENT IMAGES OF METRIC SPACES
Lin, Shou; Zheng, Chunyan;

Abstract
In this paper some properties of sequentially closed sets and $\small{k}$-closed sets in a topological space are discussed, it is shown that a space is a $\small{k}$-quotient image of a metric space if and only if its each sequentially closed set is $\small{k}$-closed, and some related examples about connectedness are obtained.
Keywords
sequentially closed sets;$\small{k}$-closed sets;$\small{k}$-quotient mappings;sequentially quotient mappings;connectedness;
Language
English
Cited by
1.
ON SPACES WHICH HAVE COUNTABLE TIGHTNESS AND RELATED SPACES,;

호남수학학술지, 2012. vol.34. 2, pp.199-208
1.
ON SPACES WHICH HAVE COUNTABLE TIGHTNESS AND RELATED SPACES, Honam Mathematical Journal, 2012, 34, 2, 199
2.
A NOTE ON SPACES DETERMINED BY CLOSURE-LIKE OPERATORS, East Asian mathematical journal, 2016, 32, 3, 365
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