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A generalized preimage theorem in global analysis

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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.

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  1. Department of Mathematics, Nanjing University, 210093, Nanjing, China

    Jipu Ma

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  1. Jipu Ma
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Correspondence to Jipu Ma.

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Ma, J. A generalized preimage theorem in global analysis. Sci. China Ser. A-Math. 44, 299–303 (2001). https://doi.org/10.1007/BF02878710

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  • DOI: https://doi.org/10.1007/BF02878710

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