Sard’s theorem for mappings between Fréchet manifolds

We prove an infinite-dimensional version of Sard’s theorem for Fréchet manifolds. Let M (respectively, N) be a bounded Fréchet manifold with compatible metric d M (respectively, d N ) modeled on Fréchet spaces E (respectively, F) with standard metrics. Let f : M → N be an MC k-Lipschitz–Fredholm map...

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Bibliographic Details
Date:2010
Main Author: Eftekharinasab, K.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/166299
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Sard’s theorem for mappings between Fréchet manifolds / K. Eftekharinasab // Український математичний журнал. — 2010. — Т. 62, № 12. — С. 1634–1641. — Бібліогр.: 5 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine