Topological stability and shadowing property for group actions on metric spaces

DOI10.4134/JKMS.J200095zbMath1481.37014OpenAlexW3157677252MaRDI QIDQ5001905

Yinong Yang

Publication date: 23 July 2021

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=DBSHBB&py=2021&vnc=v58n2&sp=439

zbMATH Keywords

group actionsshadowing propertytopological stabilityexpansiveness

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) Dynamics in general topological spaces (37B02) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

• Unnamed Item
• Topological stability and pseudo-orbit tracing property for expansive measures
• Topological stability and spectral decomposition for homeomorphisms on noncompact spaces
• Anosov diffeomorphisms are topologically stable
• Shadowing for actions of some finitely generated groups
• Topological stability and pseudo-orbit tracing property of group actions
• Shadowing in actions of some Abelian groups
• Inverse shadowing in group actions
• Shadowing in multi-dimensional shift spaces

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