Geodesic
$k$-systems, $k$-networks and $k$-covers
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 1, pp. 239-245.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 54C10, 54D50, 54E45
Keywords: $k$-systems; $k$-networks; $k$-covers; $k$-spaces; point-countable families; hereditarily closure-preserving families 
@article{CMJ_2006__56_1_a13,
     author = {Li, Jinjin and Lin, Shou},
     title = {$k$-systems, $k$-networks and $k$-covers},
     journal = {Czechoslovak Mathematical Journal},
     pages = {239--245},
     publisher = {mathdoc},
     volume = {56},
     number = {1},
     year = {2006},
     mrnumber = {2207015},
     zbl = {1164.54359},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006__56_1_a13/}
}
TY  - JOUR
AU  - Li, Jinjin
AU  - Lin, Shou
TI  - $k$-systems, $k$-networks and $k$-covers
JO  - Czechoslovak Mathematical Journal
PY  - 2006
SP  - 239
EP  - 245
VL  - 56
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2006__56_1_a13/
LA  - en
ID  - CMJ_2006__56_1_a13
ER  - 
%0 Journal Article
%A Li, Jinjin
%A Lin, Shou
%T $k$-systems, $k$-networks and $k$-covers
%J Czechoslovak Mathematical Journal
%D 2006
%P 239-245
%V 56
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2006__56_1_a13/
%G en
%F CMJ_2006__56_1_a13
Li, Jinjin; Lin, Shou. $k$-systems, $k$-networks and $k$-covers. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 1, pp. 239-245. http://geodesic.mathdoc.fr/item/CMJ_2006__56_1_a13/