Corpus ID: 119282595

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

  title={A global bifurcation theorem for critical values of \$C^1\$ maps in Banach spaces},
  author={Pablo Amster and Pierluigi Benevieri and Juli'an Haddad},
We present a global bifurcation result for critical values of C maps in Banach spaces. The approach is topological based on homotopy equivalence of pairs of topological spaces. For C maps, we prove a particular global bifurcation result, based on the notion of spectral flow. 

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