On local properties of non-Archimedean analytic spaces
✍ Scribed by M. Temkin
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 223 KB
- Volume
- 318
- Category
- Article
- ISSN
- 0025-5831
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📜 SIMILAR VOLUMES
## Abstract It is proved when a non‐Archimedean Fréchet space __E__ of countable type has a quotient isomorphic to 𝕂^ℕ^, __c__^ℕ^~0~ or __c__~0~ × 𝕂^ℕ^. It is also shown when __E__ has a non‐normable quotient with a continuous norm. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
## Abstract Some non‐archimedean bounded approximation properties are introduced and studied in this paper. As an application, an affirmative answer is given, for non‐spherically complete base fields, to the following problem, posed in 13, p. 95: Does there exist an absolutely convex edged set __B_