A generalized preimage theorem in global analysis

The concept of locally fine point and generalized regular value of a C1 map between Banach spaces were carried over C1 map between Banach manifolds. Hence the preimage theorem, a principle constructing Banach manifolds in global analysis, is generalized.

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Bibliographic Details
Published inScience China. Mathematics Vol. 44; no. 3; pp. 299 - 303
Main Author Ma, Jipu
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.03.2001
Department of Mathematics, Nanjing University, Nanjing 210093, Chinaemail: zfma@public.ptt.js.cn
Subjects
Banach spaces
Manifolds
Theorems
Banach submanifolds
global analysis
preimage theorem
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Summary:The concept of locally fine point and generalized regular value of a C1 map between Banach spaces were carried over C1 map between Banach manifolds. Hence the preimage theorem, a principle constructing Banach manifolds in global analysis, is generalized.
ISSN:1006-9283
1674-7283
1862-2763
1869-1862
DOI:10.1007/BF02878710