Weak-open compact images of metric spaces
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 447-455
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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.
Classification :
54D55, 54E15, 54E40, 54E99
Keywords: $g$-developable; $\pi $-mapping; weak-open mapping; CWC-map; uniform weak base
Keywords: $g$-developable; $\pi $-mapping; weak-open mapping; CWC-map; uniform weak base
@article{CMJ_2008__58_2_a9,
author = {Xia, Shengxiang},
title = {Weak-open compact images of metric spaces},
journal = {Czechoslovak Mathematical Journal},
pages = {447--455},
publisher = {mathdoc},
volume = {58},
number = {2},
year = {2008},
mrnumber = {2411100},
zbl = {1174.54021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2008__58_2_a9/}
}
Xia, Shengxiang. Weak-open compact images of metric spaces. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 447-455. http://geodesic.mathdoc.fr/item/CMJ_2008__58_2_a9/