Universal lifting properties of abelian semigroup actions

DOI10.1016/J.TOPOL.2023.108750zbMath1529.37008OpenAlexW4387504229MaRDI QIDQ6181136

Shu-Qi Huang, Hailan Liang

Publication date: 22 January 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108750

zbMATH Keywords

inverse limitsemigroup actionuniversal lifting property

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

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• Topological dynamics and combinatorial number theory
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Minimality, distality and equicontinuity for semigroup actions on compact Hausdorff spaces
• Lifting the regionally proximal relation and characterizations of distal extensions
• Shadowing and mixing on systems of countable group actions
• Almost automorphy and Veech's relations of dynamics on compact \(T_2\)-spaces
• Characterizations of relativized distal points of topological dynamical systems
• On universal minimal proximal flows of topological groups
• A new short proof for the uniqueness of the universal minimal space

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