Weak-open compact images of metric spaces

Sheng Xiang Xia

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 2, page 447-455
  • ISSN: 0011-4642

Abstract

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The main results of this paper are that (1) a space X is g -developable if and only if it is a weak-open π image of a metric space, one consequence of the result being the correction of an error in the paper of Z. Li and S. Lin; (2) characterizations of weak-open compact images of metric spaces, which is another answer to a question in in the paper of Y. Ikeda, C. liu and Y. Tanaka.

How to cite

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Xia, Sheng Xiang. "Weak-open compact images of metric spaces." Czechoslovak Mathematical Journal 58.2 (2008): 447-455. <http://eudml.org/doc/31220>.

@article{Xia2008,
abstract = {The main results of this paper are that (1) a space $X$ is $g$-developable if and only if it is a weak-open $\pi $ image of a metric space, one consequence of the result being the correction of an error in the paper of Z. Li and S. Lin; (2) characterizations of weak-open compact images of metric spaces, which is another answer to a question in in the paper of Y. Ikeda, C. liu and Y. Tanaka.},
author = {Xia, Sheng Xiang},
journal = {Czechoslovak Mathematical Journal},
keywords = {$g$-developable; $\pi $-mapping; weak-open mapping; CWC-map; uniform weak base; -developable; -mapping; weak-open mapping; CWC-map; uniform weak base},
language = {eng},
number = {2},
pages = {447-455},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weak-open compact images of metric spaces},
url = {http://eudml.org/doc/31220},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Xia, Sheng Xiang
TI - Weak-open compact images of metric spaces
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 2
SP - 447
EP - 455
AB - The main results of this paper are that (1) a space $X$ is $g$-developable if and only if it is a weak-open $\pi $ image of a metric space, one consequence of the result being the correction of an error in the paper of Z. Li and S. Lin; (2) characterizations of weak-open compact images of metric spaces, which is another answer to a question in in the paper of Y. Ikeda, C. liu and Y. Tanaka.
LA - eng
KW - $g$-developable; $\pi $-mapping; weak-open mapping; CWC-map; uniform weak base; -developable; -mapping; weak-open mapping; CWC-map; uniform weak base
UR - http://eudml.org/doc/31220
ER -

References

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