Proximity and distality via Furstenberg families

DOI10.1016/j.topol.2005.07.012zbMath1099.37006OpenAlexW2062090227MaRDI QIDQ2498033

Song Shao

Publication date: 4 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.07.012

zbMATH Keywords

recurrencedistalityproximityFurstenberg family

Mathematics Subject Classification ID

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)

Related Items (12)

Equicontinuity and regionally proximal relation via Furstenberg families ⋮ Measure-Theoretical Sensitivity and Scrambled Sets Via Furstenberg Families ⋮ Shadowing, entropy and minimal subsystems ⋮ Generalized specification property and distributionally scrambled sets ⋮ Transitivity and sensitivity of iterated function systems via Furstenberg families ⋮ F-sensitivity and (F_1, F_2)-sensitivity between dynamical systems and their induced hyperspace dynamical systems ⋮ On \(\lambda\)-power distributional \(n\)-chaos ⋮ Furstenberg families and sensitivity ⋮ Semi-distality and related topics in generalized shift dynamical systems ⋮ Dynamical compactness and sensitivity ⋮ Measure-Theoretical Sensitivity and Scrambled Sets via Furstenberg Families ⋮ Recent development of chaos theory in topological dynamics

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