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Fredholm mappings and Banach manifolds

José María Soriano Arbizu
대한수학회 (The Korean Mathematical Society)|2009.05|대한수학회지 (Journal of the KMS)|제46권 제3호|pp. 463-473

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참고문헌

키워드

compactnessatlaschartregular valuecontinuation methodsBanach manifold
주제분류수학

초록

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.

Abstract

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.

참고문헌 (28)

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