Let X be a space, and C be a closed cover of X consisting of metric subsets. Let X have the weak topology with respect to C in the sense of K. Morita. In terms of k-networks, we give some topological properties on X by means of the covering properties associated with the cover C.
โฆ LIBER โฆ
Metrizability of topological groups having weak topologies with respect to good covers
โ Scribed by Tsugunori Nogura; Dmitri B. Shakhmatov; Yoshio Tanaka
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 717 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
K-networks, and spaces having the weak t
โ
Yoshio Tanaka
๐
Article
๐
1998
๐
Elsevier Science
๐
English
โ 870 KB
On completions of topological groups wit
โ
Altay A. Borubaev; Asylbek A. Chekeev
๐
Article
๐
2000
๐
Elsevier Science
๐
English
โ 139 KB
A necessary and sufficient condition for completibility of topological groups with respect to the maximal uniform structure and the class of topological groups with the above-mentioned property are found. Results similar to factorization for continuous homomorphisms of R-factorizable uniform groups