Completion of Semiuniform Convergence Spaces
✍ Scribed by Gerhard Preuß
- Book ID
- 110264510
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 109 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0927-2852
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📜 SIMILAR VOLUMES
The importance of local precompactness has become apparent in theorems of the Ascoli type proved by Bentley and Herrlich (1985) in the realm of filter spaces as well as by Wyler (1984) in the realm of uniform limit spaces. Here local precompactness is studied in the highly convenient setting of semi
## 1. Definitions and introdiiction In this note it is shown that the completion of a SCHWARTZ space E in the category of L,L, -embedded spaces is Iinearly homeomorphic with the eJf-bidual LAM E . The connection between LA,, -embedded SCHWARTZ spaces and topological SCHWARTZ spaces is also studied.