An index for Brouwer homeomorphisms and homotopy Brouwer theory

Autor: Roux, Frédéric Le
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1017/etds.2015.56
Popis: 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.
Comment: To appear in Ergodic Theory and Dynamical Systems
Databáze: arXiv