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

Julian Haddad; Pablo Amster; Pierluigi Benevieri

arxiv: 1708.01340 · v1 · pith:R22V6Q2Wnew · submitted 2017-08-04 · 🧮 math.FA

A global bifurcation theorem for critical values of C¹ maps in Banach spaces

Pablo Amster , Pierluigi Benevieri , Julian Haddad This is my paper

classification 🧮 math.FA

keywords bifurcationglobalmapsspacesbanachcriticalresulttopological

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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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A global bifurcation theorem for critical values of C¹ maps in Banach spaces

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