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arXiv · 1708.01340

A global bifurcation theorem for critical values of $C^1$ maps in Banach spaces

Pablo Amster·Pierluigi Benevieri·Julian Haddad
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Abstract

We present a global bifurcation result for critical values of $C^1$ maps in Banach spaces. The approach is topological based on homotopy equivalence of pairs of topological spaces. For $C^2$ maps, we prove a particular global bifurcation result, based on the notion of spectral flow.

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Pablo Amster, Pierluigi Benevieri, Julian Haddad. 2017-08-04. A global bifurcation theorem for critical values of $C^1$ maps in Banach spaces. https://arxiv.org/abs/1708.01340

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