Showing math.DSShow all
3 papers · 1 filter
math.DS2019
Expansive systems on lattices
Mauricio Achigar
We study expansive dynamical systems in the setting of distributive lattices and their automorphisms, the usual notion of expansiveness for a homeomorphism of a compact metric spac…
math.DS2019
Extensions of Expansive Dynamical Systems
Mauricio Achigar
We characterize and describe the extensions of expansive and Anosov homeomorphisms on compact spaces. As an application we obtain a stability result for extensions of Anosov system…
math.DS2019
A note on Anosov homeomorphisms
Mauricio Achigar
For an -expansive homeomorphism of a compact space we give an elementary proof of the following well-known result in topological dynamics: A sufficient condition for the homeomo…