Extensions of Expansive Dynamical Systems

2019/09/21 by Achigar, Mauricio
#37B25 #37B65 #Dynamical Systems (math.DS) #FOS: Mathematics #Primary: 37B05 #Secondary: 37B02

paper · doi:10.48550/arxiv.1909.09911

Abstract

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 systems, and show a construction that embeds any expansive system inside an expansive system having the shadowing property for the pseudo orbits of the original space.

Related

• A note on Anosov homeomorphisms
• Expansive Homeomorphisms on non-Hausdorff Spaces
• Expansive systems on lattices
• Hyper-expansive Homeomorphisms
• Levels of generalized expansiveness