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On Topological Classification of Non-Archimedean Fréchet Spaces

✍ Scribed by Wiesław Śliwa

Book ID
111577436
Publisher
Springer
Year
2004
Tongue
English
Weight
116 KB
Volume
54
Category
Article
ISSN
0011-4642

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On quotients of non-Archimedean Fréchet
On quotients of non-Archimedean Fréchet spaces
✍ Wiesław Śliwa 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB

## 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)