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Keywords:
weak-open mappings; $\pi$-mappings; $g$-developable spaces; Cauchy spaces; cs-covers; sn-covers; weak-developments; point-star networks
weak-open mappings; $\pi$-mappings; $g$-developable spaces; Cauchy spaces; cs-covers; sn-covers; weak-developments; point-star networks
Summary:
In this paper, we give some characterizations of metric spaces under weak-open $\pi$-mappings, which prove that a space is $g$-developable (or Cauchy) if and only if it is a weak-open $\pi$-image of a metric space.
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