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arXiv:1401.2333 [math.DS]AbstractReferencesReviewsResources

An index for Brouwer homeomorphisms and homotopy Brouwer theory

Frédéric Le Roux

Published 2014-01-10, updated 2015-09-24Version 3

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.

Comments: To appear in Ergodic Theory and Dynamical Systems
Categories: math.DS
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