On a Characterization of Collectionwise Normality
Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 13-15
Voir la notice de l'article provenant de la source Cambridge University Press
The purpose of this note is to give some characterizations of collectionwise normality by means of the normality of certain product topological spaces; they are a consequence of a theorem proved by M. Katětov, but they appear to be new.
Alas, O. T. On a Characterization of Collectionwise Normality. Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 13-15. doi: 10.4153/CMB-1971-003-6
@article{10_4153_CMB_1971_003_6,
author = {Alas, O. T.},
title = {On a {Characterization} of {Collectionwise} {Normality}},
journal = {Canadian mathematical bulletin},
pages = {13--15},
year = {1971},
volume = {14},
number = {1},
doi = {10.4153/CMB-1971-003-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-003-6/}
}
[1] 1. Bing, R. H., Metrization of topological spaces, Canad. J. Math. 3 (1951), 175-186. Google Scholar
[2] 2. Dowker, C. H., On countably paracompact spaces, Canad. J. Math. 3 (1951), 219-224. Google Scholar
[3] 3. Katětov, M., On extension of locally finite coverings. Colloq. Math. 6 (1958), 145-151. (Russian.) Google Scholar
[4] 4. Nagata, J., Modern general topology, North-Holland, Amsterdam, 1968. Google Scholar
Cité par Sources :