On inverse limit spaces of maps of an interval with zero entropy

DOI10.1016/S0166-8641(97)00188-0zbMath0973.54036MaRDI QIDQ1292760

Xiang Dong Ye

Publication date: 29 November 2001

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

zbMATH Keywords

topological entropyinverse limit spaceKuratowski functionlayers of a hereditarily decomposable chainable continuumSuslinean continuum

Mathematics Subject Classification ID

Continua and generalizations (54F15) Entropy in general topology (54C70) Topological entropy (37B40) Continua theory in dynamics (37B45) Dynamical systems involving maps of the interval (37E05)

Related Items

The entropies and multifractal spectrum of some compact systems ⋮ An arc as the inverse limit of a single bonding map of type \(N\) on \([0,1\)]

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive entropy homeomorphisms on the pseudoarc
• Monotone decompositions of inverse limit spaces based on finite graphs
• Circle maps and inverse limits
• Dynamics in one dimension
• On homeomorphisms of \((I,f)\) having topological entropy zero
• The dynamics of homeomorphisms of hereditarily decomposable chainable continua
• Topological entropy of the induced maps of the inverse limits with bonding maps
• One-dimensional non-wandering sets
• Concerning Periodic Points in Mappings of Continua
• The Depth of Tranches in λ-Dendroids
• Sarkovskii's Theorem for Hereditarily Decomposable Chainable Continua
• A Transitive Map on [0,1 Whose Inverse Limit is the Pseudoarc]
• The Dynamics of Continuous Maps of Finite Graphs through Inverse Limits
• Chaos, Periodicity, and Snakelike Continua