\(G\)-index, topological dynamics and the marker property

DOI10.1007/s11856-022-2433-0OpenAlexW4313238856MaRDI QIDQ2677820

Mitsunobu Tsutaya, Masaki Tsukamoto, Masahiko Yoshinaga

Publication date: 6 January 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.15372

zbMATH Keywords

index theorytopological spaceaction of a finite groupmarker property

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Index theory for dynamical systems, Morse-Conley indices (37B30) Dynamics in general topological spaces (37B02)

Related Items (3)

Finite mean dimension and marker property ⋮ A convex analysis approach to the metric mean dimension: limits of scaled pressures and variational principles ⋮ Dynamical comparison and \(\mathcal{Z} \)-stability for crossed products of simple \(C^\ast \)-algebras

Cites Work

• Mean dimension of \({\mathbb{Z}^k}\)-actions
• Mean dimension, small entropy factors and an embedding theorem
• Mean topological dimension
• Topological invariants of dynamical systems and spaces of holomorphic maps. I.
• Embedding minimal dynamical systems into Hilbert cubes
• Double variational principle for mean dimension with potential
• Double variational principle for mean dimension
• Application of signal analysis to the embedding problem of \({\mathbb{Z}}^k\)-actions
• Embedding topological dynamical systems with periodic points in cubical shifts
• Mean dimension and Jaworski-type theorems
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler

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