Topological entropy of the induced maps of the inverse limits with bonding maps

DOI10.1016/0166-8641(94)00035-0zbMath0838.54017OpenAlexW2003684731MaRDI QIDQ1910695

Xiang Dong Ye

Publication date: 3 June 1996

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

Full work available at URL: https://doi.org/10.1016/0166-8641(94)00035-0

zbMATH Keywords

topological entropyinverse limit spaceinduced mapinduced homeomorphismhereditarily decomposable chainable continuum

Mathematics Subject Classification ID

Continua and generalizations (54F15) Entropy in general topology (54C70) Iteration of real functions in one variable (26A18)

Related Items

Semi-conjugacies and inverse limit spaces ⋮ Chaos and indecomposability ⋮ Strongly commuting interval maps ⋮ Topological entropy of diagonal maps on inverse limit spaces ⋮ Shift maps and their variants on inverse limits with set-valued functions ⋮ Unnamed Item ⋮ Entropy of shift maps of the pseudo-arc ⋮ Shadowing, Entropy and Minimal Sets ⋮ Positive entropy homeomorphisms of chainable continua and indecomposable subcontinua ⋮ Topologically mixing maps and the pseudoarc ⋮ Topological entropy and IE-tuples of indecomposable continua ⋮ A note on stronger forms of sensitivity for inverse limit dynamical systems ⋮ Chaotic continua in chaotic dynamical systems ⋮ Monotone maps of 𝐺-like continua with positive topological entropy yield indecomposability ⋮ Generalized horseshoes and indecomposability for one-dimensional continua ⋮ On inverse limit spaces of maps of an interval with zero entropy

Cites Work

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• The periodic points of maps of the disk and the interval
• The dynamics of homeomorphisms of hereditarily decomposable chainable continua
• One-dimensional non-wandering sets
• Dynamical properties of the shift maps on the inverse limit spaces
• Chaos, Periodicity, and Snakelike Continua
• Confluent and related mappings