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A generalized preimage theorem in global analysis
Authors:Ma Jipu
Affiliation:Department of Mathematics, Nanjing University, Nanjing 210093, Chinaemail: zfma@public.ptt.js.cn
Abstract:
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.
Keywords:global analysis  Banach submanifolds  preimage theorem
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