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On Compact-covering Images of Locally Separable Metric Spaces

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In this paper, we give the internal characterizations of compact-covering s- (resp., π-)images of locally separable metric spaces. As applications of these results, we obtain characterizations of compact-covering quotient s-(resp., π-)images of locally sepa- rable metric spaces

Abstract

In this paper, we give the internal characterizations of compact-covering s- (resp., π-)images of locally separable metric spaces. As applications of these results, we obtain characterizations of compact-covering quotient s-(resp., π-)images of locally sepa- rable metric spaces

참고문헌 (10)

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  5. Y. Ge, "On compact images of locally separable metric spaces", Topology Proc, 27(1), pp.351~360 (2003)
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  7. Y. Ikeda, "Quotient compact images of metric spaces, and related matters", Topology Appl, 122, pp.237~252 (2002)
  8. Z. Li, "On -s-images of metric spaces", Int. J. Math. Math. Sci, 7, pp.1101~1107 (2005)
  9. S. Lin, "A note on the Arens' space and sequential fan", Topology Appl, 81, pp.185~196 (1997)
  10. S. Lin, "A note on sequence-covering mappings", Acta Math. Hungar, 107, pp.187~191 (2005)

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