Completion of pseudo-topological groups
✍ Scribed by Roman Frič; D. C. Kent
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 323 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This is a direct continuation of the authors paper [4], to which we refer for t,he notions and notations employed. (See also [I, 21 and [3].) I n § 6 of [4] we have shown that every pseudo-topology in the sense of G. CHOQUET can be considered as a limiting, and hence also as a t-maximal filter of pe
In this paper, we prove that the category TAb of topological Abelian groups is quasi-Abelian. Using results about derived projective limits in quasi-Abelian categories, we study exactness properties of the projective limit functor in TAb. If X is a projective system of TAb indexed by a filtering ord
## Abstract Preordered topological spaces for which the order has a closed graph form a topological category. Within this category we identify the MacNeille completions (coinciding with the universal initial completions) of five monotopological subcategories, namely those of the __T__~0~(__T__~1~,
## dedicated to helmut wielandt on the occasion of his 90th birthday There are many dimension functions defined on arbitrary topological spaces taking either a finite value or the value infinity. This paper defines a cardinal valued dimension function, dim. The Lie algebra G of a compact group G i