An index for Brouwer homeomorphisms and homotopy Brouwer theory
Dynamical Systems
2015-10-14 v3
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.
Keywords
Cite
@article{arxiv.1401.2333,
title = {An index for Brouwer homeomorphisms and homotopy Brouwer theory},
author = {Frédéric Le Roux},
journal= {arXiv preprint arXiv:1401.2333},
year = {2015}
}
Comments
To appear in Ergodic Theory and Dynamical Systems