A generalized preimage theorem in global analysis
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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.
Keywordsglobal analysis Banach submanifolds preimage theorem
- 4.Zeidler, A. E., Nonlinear Function Analysis and Its Applications, IV: Applications to Mathematical Physics, New York:Springer-Verlag, 1988.Google Scholar