Geodesic
$g$-metrizable spaces and the images of semi-metric spaces
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 4, pp. 1141-1149.

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

In this paper, we prove that a space $X$ is a $g$-metrizable space if and only if $X$ is a weak-open, $\pi $ and $\sigma $-image of a semi-metric space, if and only if $X$ is a strong sequence-covering, quotient, $\pi $ and $mssc$-image of a semi-metric space, where “semi-metric” can not be replaced by “metric”.
Classification : 54C10, 54D55, 54E25, 54E35, 54E40
Keywords: $g$-metrizable spaces; $sn$-metrizable spaces; weak-open mappings; strong sequence-covering mappings; quotient mappings; $\pi $-mappings; $\sigma $-mappings; $mssc$-mappings 
@article{CMJ_2007__57_4_a4,
     author = {Ge, Ying and Lin, Shou},
     title = {$g$-metrizable spaces and the images of semi-metric spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1141--1149},
     publisher = {mathdoc},
     volume = {57},
     number = {4},
     year = {2007},
     mrnumber = {2357584},
     zbl = {1174.54018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2007__57_4_a4/}
}
TY  - JOUR
AU  - Ge, Ying
AU  - Lin, Shou
TI  - $g$-metrizable spaces and the images of semi-metric spaces
JO  - Czechoslovak Mathematical Journal
PY  - 2007
SP  - 1141
EP  - 1149
VL  - 57
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2007__57_4_a4/
LA  - en
ID  - CMJ_2007__57_4_a4
ER  - 
%0 Journal Article
%A Ge, Ying
%A Lin, Shou
%T $g$-metrizable spaces and the images of semi-metric spaces
%J Czechoslovak Mathematical Journal
%D 2007
%P 1141-1149
%V 57
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2007__57_4_a4/
%G en
%F CMJ_2007__57_4_a4
Ge, Ying; Lin, Shou. $g$-metrizable spaces and the images of semi-metric spaces. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 4, pp. 1141-1149. http://geodesic.mathdoc.fr/item/CMJ_2007__57_4_a4/