Notes on c f p -covers

Shou Lin; Peng Fei Yan

Commentationes Mathematicae Universitatis Carolinae (2003)

  • Volume: 44, Issue: 2, page 295-306
  • ISSN: 0010-2628

Abstract

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The main purpose of this paper is to establish general conditions under which T 2 -spaces are compact-covering images of metric spaces by using the concept of c f p -covers. We generalize a series of results on compact-covering open images and sequence-covering quotient images of metric spaces, and correct some mapping characterizations of g -metrizable spaces by compact-covering σ -maps and m s s c -maps.

How to cite

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Lin, Shou, and Yan, Peng Fei. "Notes on $cfp$-covers." Commentationes Mathematicae Universitatis Carolinae 44.2 (2003): 295-306. <http://eudml.org/doc/249203>.

@article{Lin2003,
abstract = {The main purpose of this paper is to establish general conditions under which $T_2$-spaces are compact-covering images of metric spaces by using the concept of $cfp$-covers. We generalize a series of results on compact-covering open images and sequence-covering quotient images of metric spaces, and correct some mapping characterizations of $g$-metrizable spaces by compact-covering $\sigma $-maps and $mssc$-maps.},
author = {Lin, Shou, Yan, Peng Fei},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$cfp$-covers; compact-covering maps; metrizable spaces; $g$-metrizable spaces; $\sigma $-maps; $mssc$-maps; -covers; compact-covering maps; -metrizable spaces; -maps; -maps},
language = {eng},
number = {2},
pages = {295-306},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Notes on $cfp$-covers},
url = {http://eudml.org/doc/249203},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Lin, Shou
AU - Yan, Peng Fei
TI - Notes on $cfp$-covers
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 2
SP - 295
EP - 306
AB - The main purpose of this paper is to establish general conditions under which $T_2$-spaces are compact-covering images of metric spaces by using the concept of $cfp$-covers. We generalize a series of results on compact-covering open images and sequence-covering quotient images of metric spaces, and correct some mapping characterizations of $g$-metrizable spaces by compact-covering $\sigma $-maps and $mssc$-maps.
LA - eng
KW - $cfp$-covers; compact-covering maps; metrizable spaces; $g$-metrizable spaces; $\sigma $-maps; $mssc$-maps; -covers; compact-covering maps; -metrizable spaces; -maps; -maps
UR - http://eudml.org/doc/249203
ER -

References

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