Topologically Anosov plane homeomorphisms

DOI10.12775/TMNA.2019.050zbMath1435.37065arXiv1805.02737OpenAlexW2963073178MaRDI QIDQ2336095

Juliana Xavier, Gonzalo Cousillas, Jorge Groisman

Publication date: 18 November 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.02737

zbMATH Keywords

homothetytopological shadowing propertytopologically Anosov plane homeomorphismtopologically expansive homeomorphism

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items (3)

A topological shadowing theorem ⋮ Linearization of topologically Anosov homeomorphisms of non compact surfaces of genus zero and finite type ⋮ Topologically Anosov plane homeomorphisms

Cites Work

• Linearization of planar homeomorphisms with a compact attractor
• Spectral decomposition for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces
• Topologically Anosov plane homeomorphisms
• Expansive homeomorphisms of surfaces
• Every compact metric space that supports a positively expansive homeomorphism is finite
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