We investigate C-compact and relatively pseudocompact subsets of Tychonoff spaces with a special emphasis given to subsets of topological groups. It is shown that a relatively pseudocompact subset of a space X is C-compact in X, but not vice versa. If, however, X is a topological group, then these p
β¦ LIBER β¦
Discrete sets and the maximal totally bounded group topology
β Scribed by Klaas Pieter Hart; Jan van Mill
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 491 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
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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