Equicontinuity of minimal sets for amenable group actions on dendrites

DOI10.1090/conm/744/14983zbMath1446.37015arXiv1807.01667OpenAlexW3016921372MaRDI QIDQ3295996

En Hui Shi, Xiang Dong Ye

Publication date: 3 July 2020

Published in: Dynamics: Topology and Numbers (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01667

zbMATH Keywords

Cantor setamenable groupequicontinuity

Mathematics Subject Classification ID

Topological spaces of dimension (leq 1); curves, dendrites (54F50) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (3)

Group actions on treelike compact spaces ⋮ Group action with finite orbits on local dendrites ⋮ An alternative for minimal group actions on totally regular curves

Cites Work

• Groups acting on dendrons
• Free subgroups of dendrite homeomorphism group
• Dynamical properties of monotone dendrite maps
• Groups acting on the circle.
• Group actions on treelike compact spaces
• Hausdorff dimension and dendritic limit sets
• Free subgroups of the homeomorphism group of the circle
• Minimal sets for group actions on dendrites
• Periodic points for amenable group actions on dendrites
• Minimal group actions on dendrites
• On Rigidity, Limit Sets, and End Invariants of Hyperbolic 3-Manifolds
• Group actions on dendrites and curves
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