k -systems, k -networks and k -covers

Jinjin Li; Shou Lin

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 1, page 239-245
  • ISSN: 0011-4642

Abstract

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The concepts of k -systems, k -networks and k -covers were defined by A. Arhangel’skiǐ in 1964, P. O’Meara in 1971 and R. McCoy, I. Ntantu in 1985, respectively. In this paper the relationships among k -systems, k -networks and k -covers are further discussed and are established by m k -systems. As applications, some new characterizations of quotients or closed images of locally compact metric spaces are given by means of m k -systems.

How to cite

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Li, Jinjin, and Lin, Shou. "$k$-systems, $k$-networks and $k$-covers." Czechoslovak Mathematical Journal 56.1 (2006): 239-245. <http://eudml.org/doc/31025>.

@article{Li2006,
abstract = {The concepts of $k$-systems, $k$-networks and $k$-covers were defined by A. Arhangel’skiǐ in 1964, P. O’Meara in 1971 and R. McCoy, I. Ntantu in 1985, respectively. In this paper the relationships among $k$-systems, $k$-networks and $k$-covers are further discussed and are established by $mk$-systems. As applications, some new characterizations of quotients or closed images of locally compact metric spaces are given by means of $mk$-systems.},
author = {Li, Jinjin, Lin, Shou},
journal = {Czechoslovak Mathematical Journal},
keywords = {$k$-systems; $k$-networks; $k$-covers; $k$-spaces; point-countable families; hereditarily closure-preserving families; -spaces; point-countable families; hereditarily closure-preserving families},
language = {eng},
number = {1},
pages = {239-245},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$k$-systems, $k$-networks and $k$-covers},
url = {http://eudml.org/doc/31025},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Li, Jinjin
AU - Lin, Shou
TI - $k$-systems, $k$-networks and $k$-covers
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 1
SP - 239
EP - 245
AB - The concepts of $k$-systems, $k$-networks and $k$-covers were defined by A. Arhangel’skiǐ in 1964, P. O’Meara in 1971 and R. McCoy, I. Ntantu in 1985, respectively. In this paper the relationships among $k$-systems, $k$-networks and $k$-covers are further discussed and are established by $mk$-systems. As applications, some new characterizations of quotients or closed images of locally compact metric spaces are given by means of $mk$-systems.
LA - eng
KW - $k$-systems; $k$-networks; $k$-covers; $k$-spaces; point-countable families; hereditarily closure-preserving families; -spaces; point-countable families; hereditarily closure-preserving families
UR - http://eudml.org/doc/31025
ER -

References

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