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On quotients of non‐Archimedean Fréchet spaces
Author(s) -
Śliwa Wiesław
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200410590
Subject(s) - mathematics , quotient , quotient space (topology) , countable set , pure mathematics , norm (philosophy) , discrete mathematics , political science , law
It is proved when a non‐Archimedean Fréchet space E of countable type has a quotient isomorphic to ℕ , c ℕ 0 or c 0 × ℕ . It is also shown when E has a non‐normable quotient with a continuous norm. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)