A classification of minimal sets for surface homeomorphisms

Autor: Alejandro Passeggi, Juliana Xavier
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Popis: We classify minimal sets of (closed and oriented) hyperbolic surface homeomorphisms by studying the connected components of their complement. This extends the classification given by Jager et al. (Mat Z 274(1–2):405–426, 2013) in the torus. The classification being sensitive to global topology, striking differences with the toral case arise. We also show that the given classification can be strengthened when considered for non-wandering (conservative) systems, and in the homotopy class of pseudo-Anosov maps.
Databáze: OpenAIRE