FREDHOLM MAPPINGS AND BANACH MANIFOLDS

Title & Authors
FREDHOLM MAPPINGS AND BANACH MANIFOLDS
Arbizu, Jose Mara Soriano;

Abstract
Two $\small{C^1}$-mappings, whose domain is a connected compact $\small{C^1}$-Banach manifold modelled over a Banach space X over $\small{\mathbb{K}=\mathbb{R}}$ or $\small{\mathbb{C}}$ and whose range is a Banach space Y over $\small{\mathbb{K}}$, 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.
Keywords
regular value;continuation methods;atlas;chart;Banach manifold;compactness;
Language
English
Cited by
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