Domains of Paracompactness and Local Compactness
Canadian journal of mathematics, Tome 28 (1976) no. 3, pp. 449-454
Voir la notice de l'article provenant de la source Cambridge University Press
Given a class of topological spaces and a class of mappings of topological spaces, the -résolvant of is denned to be the class of topological spaces all of whose -images lie in . Whenever is closed under composition and includes identity maps, is easily seen to be the largest class of spaces smaller than which is closed under -images.
Warrack, Brian. Domains of Paracompactness and Local Compactness. Canadian journal of mathematics, Tome 28 (1976) no. 3, pp. 449-454. doi: 10.4153/CJM-1976-046-1
@article{10_4153_CJM_1976_046_1,
author = {Warrack, Brian},
title = {Domains of {Paracompactness} and {Local} {Compactness}},
journal = {Canadian journal of mathematics},
pages = {449--454},
year = {1976},
volume = {28},
number = {3},
doi = {10.4153/CJM-1976-046-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-046-1/}
}
[1] 1. MacDonald, S. and Willard, S., Domains of paracompactness and regularity, Can. J. Math. 24 (1972), 1079–1085. Google Scholar
[2] 2. Mori ta, K., On spaces having the weak topology with respect to closed coverings. II, Proc. Japan Acad. 30 (1954), 711–717. Google Scholar
[3] 3. Warrack, B., Regular quotients of metric spaces, Can. Math. Bull. 18 (1975), 611–613. Google Scholar
Cité par Sources :