The structure of continuum-wise expansive measures

DOI10.1016/J.TOPOL.2021.107870zbMath1484.37014OpenAlexW3209700475MaRDI QIDQ2052560

Seunghee Lee, Bomi Shin

Publication date: 26 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107870

zbMATH Keywords

homeomorphismBorel probability measuresspaces of measurescontinuum wise expansive

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the circle (37E10) Continua theory in dynamics (37B45) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02)

Cites Work

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• On the category of ergodic measures
• Weakly almost periodic point and measure centre
• Some generalizations of distality
• Continuum-wise expansive measures
• Beyond topological hyperbolicity: the L-shadowing property
• A note on measure-expansive diffeomorphisms
• Continuum-Wise Expansive Homeomorphisms
• On the set of expansive measures
• Entropy bounds through continuum theory
• Unstable Homeomorphisms
• Continuum-wise hyperbolicity

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