Anomalous cw-expansive surface homeomorphisms

2015/09/09 by Artigue, Alfonso
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1509.02756

Abstract

We prove that the genus two surface admits a cw-expansive homeomorphism with a fixed point whose local stable set is not locally connected.

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• Robustly N-expansive surface diffeomorphisms
• New cw-expansive homeomorphisms of surfaces
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• Generic surface homeomorphisms are almost continuum-wise expansive
• Partially Expansive Homeomorphisms