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On weak-open π-images of metric spaces
Authors:Zhaowen Li
Institution:(1) College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082, P.R. China;(2) Present address: Department of Information, Hunan Business College, Changsha, Hunan, 410205, P.R. China
Abstract:In this paper, we give some characterizations of metric spaces under weak-open π-mappings, which prove that a space is g-developable (or Cauchy) if and only if it is a weak-open π-image of a metric space.
Keywords:weak-open mappings            π  -mappings            g-developable spaces  Cauchy spaces  cs-covers  sn-covers  weak-developments  point-star networks
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