Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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THE κ-QUOTIENT IMAGES OF METRIC SPACES

  • Lin, Shou (Department of Mathematics Zhangzhou Normal University, Institute of Mathematics Ningde Teachers' College) ;
  • Zheng, Chunyan (Institute of Mathematics Ningde Teachers' College)
  • Received : 2010.11.09
  • Published : 2012.04.30
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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.

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References

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