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On Compact-covering Images of Locally Separable Metric Spaces

  • Van Dung, Nguyen (Department of Mathematics, Pedagogical University of Dongthap)
  • Received : 2008.02.14
  • Accepted : 2009.03.10
  • Published : 2009.09.30

Abstract

In this paper, we give the internal characterizations of compact-covering s-(resp., ${\pi}$-)images of locally separable metric spaces. As applications of these results, we obtain characterizations of compact-covering quotient s-(resp., ${\pi}$-)images of locally separable metric spaces.

Keywords

point-countable;compact-covering;s-mapping;${\pi}$-mapping;cfp-cover;cfp-network;Ponomarev-system

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