On indecomposability and composants of chaotic continua. II.

DOI10.1016/j.topol.2010.12.013zbMath1211.54051OpenAlexW1981999736MaRDI QIDQ629723

Hisao Kato

Publication date: 9 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.12.013

zbMATH Keywords

indecomposableexpansive homeomorphismcomposanttree-like\(k\)-cyclicchaotic continuumcontinuum having uncountable handlescontinuum-wise expansive homeomorphism

Mathematics Subject Classification ID

Complete metric spaces (54E50) Hyperspaces in general topology (54B20) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Related Items (2)

Topological entropy and IE-tuples of indecomposable continua ⋮ Monotone maps of 𝐺-like continua with positive topological entropy yield indecomposability

Cites Work

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• Chaos of continuum-wise expansive homeomorphisms and dynamical properties of sensitive maps of graphs
• Expansive homeomorphisms and indecomposable subcontinua
• The existence of expansive homeomorphisms on manifolds
• The nonexistence of expansive homeomorphisms on a closed 2-cell
• Each compact orientable surface of positive genus admits an expansive homeomorphism
• On the geometry of hyperbolic attractors of smooth cascades
• Expansive Homeomorphisms and Topological Dimension
• Continuum-Wise Expansive Homeomorphisms
• Chaotic continua of (continuum-wise) expansive homeomorphisms and chaos in the sense of Li and Yorke
• Tree-like continua do not admit expansive homeomorphisms
• On local 1-connectedness of Whitney continua
• Unstable Homeomorphisms

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