On weak-open π -images of metric spaces

Zhaowen Li

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 3, page 1011-1018
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Li, Zhaowen. "On weak-open $\pi $-images of metric spaces." Czechoslovak Mathematical Journal 56.3 (2006): 1011-1018. <http://eudml.org/doc/31087>.

@article{Li2006,
abstract = {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.},
author = {Li, Zhaowen},
journal = {Czechoslovak Mathematical Journal},
keywords = {weak-open mappings; $\pi $-mappings; $g$-developable spaces; Cauchy spaces; cs-covers; sn-covers; weak-developments; point-star networks; weak-open mappings; -mappings; -developable spaces; Cauchy spaces},
language = {eng},
number = {3},
pages = {1011-1018},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On weak-open $\pi $-images of metric spaces},
url = {http://eudml.org/doc/31087},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Li, Zhaowen
TI - On weak-open $\pi $-images of metric spaces
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 3
SP - 1011
EP - 1018
AB - 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.
LA - eng
KW - weak-open mappings; $\pi $-mappings; $g$-developable spaces; Cauchy spaces; cs-covers; sn-covers; weak-developments; point-star networks; weak-open mappings; -mappings; -developable spaces; Cauchy spaces
UR - http://eudml.org/doc/31087
ER -

References

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