Positive entropy homeomorphisms of chainable continua and indecomposable subcontinua

DOI10.1090/S0002-9939-2010-10783-9zbMath1230.37025MaRDI QIDQ3020365

Christopher Mouron

Publication date: 4 August 2011

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

zbMATH Keywords

entropyindecomposable continuumchainable continuum

Mathematics Subject Classification ID

Continua and generalizations (54F15) Topological entropy (37B40) Continua theory in dynamics (37B45)

Related Items (12)

Semi-conjugacies and inverse limit spaces ⋮ Chaos and indecomposability ⋮ Positive entropy on nonautonomous interval maps and the topology of the inverse limit space ⋮ Generic chaos on dendrites ⋮ A transitive homeomorphism on the Lelek fan ⋮ Mixing homeomorphisms and indecomposability ⋮ Mixing sets, positive entropy homeomorphisms and non-Suslinean continua ⋮ Dynamical properties of shift maps on inverse limits with a set valued function ⋮ 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 ⋮ On indecomposability in chaotic attractors

Cites Work

• The structure of decomposable snakelike continua
• Topological entropy of the induced maps of the inverse limits with bonding maps
• Independence in topological and \(C^*\)-dynamics
• The Topological Entropy of Homeomorphisms on One-Dimensional Continua
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