C0-stability for actions implies shadowing property

DOI10.1080/14689367.2021.1893660zbMath1477.37028arXiv1908.05299OpenAlexW3135560388MaRDI QIDQ4995191

Aldo Portela, Jorge Iglesias

Publication date: 23 June 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.05299

zbMATH Keywords

stabilityshadowing propertytopological dynamical systemfree group of two generators

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items

The equivalent condition of \(G\)-asymptotic tracking property and \(G\)-Lipschitz tracking property ⋮ The \(G\)-sequence shadowing property and \(G\)-equicontinuity of the inverse limit spaces under group action ⋮ Weak shadowing for actions of some finitely generated groups on non-compact spaces and related measures

Cites Work

• Unnamed Item
• Unnamed Item
• Shadowing for actions of some finitely generated groups
• Topological stability and pseudo-orbit tracing property of group actions
• Filtrations, Decompositions, and Explosions
• Shadowing property for the free group acting in the circle

This page was built for publication: C⁰-stability for actions implies shadowing property