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An index for Brouwer homeomorphisms and homotopy Brouwer theory

Published 10 Jan 2014 in math.DS | (1401.2333v3)

Abstract: We use the homotopy Brouwer theory of Handel to define a Poincar{\'e} index between two orbits for an orientation preserving fixed point free homeomorphism of the plane. Furthermore, we prove that this index is almost additive.

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Authors (1)

  1. Frédéric Le Roux 

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