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arXiv · 1401.2333

An index for Brouwer homeomorphisms and homotopy Brouwer theory

Frédéric Le Roux
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Abstract

We use the homotopy Brouwer theory of Handel to define a Poincar{é} 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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Frédéric Le Roux. 2015-09-24. An index for Brouwer homeomorphisms and homotopy Brouwer theory. https://doi.org/10.1017/etds.2015.56

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