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Fredholm mappings and Banach manifolds
José María Soriano Arbizu 대한수학회 2009 대한수학회지 Vol.46 No.3
Two C^{1}-mappings, whose domain is a connected compact C^{1}-Banach manifold modelled over a Banach space X over K= R or C and whose range is a Banach space Y over K, are introduced. Sufficient conditions are given to assert they share only a value. The proof of the result, which is based upon continuation methods, is constructive. Two C^{1}-mappings, whose domain is a connected compact C^{1}-Banach manifold modelled over a Banach space X over K= R or C and whose range is a Banach space Y over K, are introduced. Sufficient conditions are given to assert they share only a value. The proof of the result, which is based upon continuation methods, is constructive.