Zero-dimensional covers of dynamical systems

DOI10.1007/978-981-16-0174-3_5zbMath1487.37020OpenAlexW3203881802MaRDI QIDQ2067321

Hisao Kato

Publication date: 18 January 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-0174-3_5

zbMATH Keywords

dimensionperiodic pointCantor setsgeneral positioncovers of dynamical systems

Mathematics Subject Classification ID

Compact (locally compact) metric spaces (54E45) Continua theory in dynamics (37B45) Dimension theory of smooth dynamical systems (37C45)

Cites Work

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• Chain recurrent sets of generic mappings on compact spaces
• A dynamical decomposition theorem
• Dynamical decomposition theorems of homeomorphisms with zero-dimensional sets of periodic points
• The entropy theory of symbolic extensions
• Dynamical systems of finite-dimensional metric spaces and zero-dimensional covers
• Finite-to-one zero-dimensional covers of dynamical systems
• Eventual colorings of homeomorphisms
• Residual entropy, conditional entropy and subshift covers
• Expansive Homeomorphisms and Topological Dimension
• Continuum-Wise Expansive Homeomorphisms
• Zero-dimensional covers of finite dimensional dynamical systems
• On raising flows and mappings

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