Hereditarily indecomposable compacta do not admit expansive homeomorphisms

DOI10.1090/S0002-9939-08-09316-7zbMath1153.54020OpenAlexW2025881755MaRDI QIDQ3533890

Hisao Kato, Christopher Mouron

Publication date: 24 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09316-7

zbMATH Keywords

expansive homeomorphismhereditarily indecomposable continuum

Mathematics Subject Classification ID

Special maps on metric spaces (54E40) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Related Items (9)

Generic chaos on dendrites ⋮ Sensitive group actions on regular curves of almost \(\leq n\) order ⋮ Entropy of shift maps of the pseudo-arc ⋮ Continuum-wise expansive measures ⋮ Unnamed Item ⋮ (Non-)expansivity in functional envelopes ⋮ Topological entropy and IE-tuples of indecomposable continua ⋮ Chaotic continua in chaotic dynamical systems ⋮ Monotone maps of 𝐺-like continua with positive topological entropy yield indecomposability

Cites Work

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• Expansive homeomorphisms and indecomposable subcontinua
• On the geometry of hyperbolic attractors of smooth cascades
• Expansive Homeomorphisms and Topological Dimension
• Continuum-Wise Expansive Homeomorphisms
• Tree-like continua do not admit expansive homeomorphisms
• A Theorem on Dimension

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