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A generalized preimage theorem in global analysis

Article

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 

References

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Copyright information

© Science in China Press 2001

Authors and Affiliations

  1. 1.Department of MathematicsNanjing UniversityNanjingChina

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