Positively expansive homeomorphisms of compact spaces

2003/08/29 by David Richeson, Richeson, David, Jim Wiseman +1
Mathematics · #37B05 #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.DS #msc:37B05

paper · pdf · doi:10.48550/arxiv.math/0308294

5 pages

arxiv created 2003/08/29 · openalex publication_date 2003/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new and elementary proof showing that a homeomorphism of a compact metric space is positively expansive if and only if the space is finite.

Citations

• Bounded homeomorphisms of the open annulus

Related

• On Expansive Maps of Topological Spaces
• Separating Homeomorphisms
• Hyper-expansive Homeomorphisms
• On supports of expansive measures
• A Note on Measure-Expansive Diffeomorphisms