The Topological Entropy of Homeomorphisms on One-Dimensional Continua

DOI10.2307/2047963zbMath0703.54021OpenAlexW4241147316MaRDI QIDQ3482539

Gerald T. Seidler

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047963

zbMATH Keywords

rational curvespositive topological entropyregular curveszero topological entropynon-rational continuanon-rational curvesself-homeomorphisms of one-dimensional continua

Mathematics Subject Classification ID

Continua and generalizations (54F15) Entropy in general topology (54C70)

Related Items (16)

Dynamics of homeomorphisms of regular curves ⋮ The dynamics of homeomorphisms of hereditarily decomposable chainable continua ⋮ Chaos and indecomposability ⋮ Topological entropy of maps on regular curves ⋮ Generic chaos on dendrites ⋮ On regular curve homeomorphisms without periodic points ⋮ Dynamics of monotone maps on regular curves ⋮ A transitive homeomorphism on the Lelek fan ⋮ Homeomorphism of hereditarily locally connected continua ⋮ Nonwandering sets and special \(\alpha\)-limit sets of monotone maps on regular curves ⋮ Mixing homeomorphisms and indecomposability ⋮ On limit sets of monotone maps on regular curves ⋮ Positive entropy homeomorphisms of chainable continua and indecomposable subcontinua ⋮ Group actions on treelike compact spaces ⋮ Periodic points of regular curve homeomorphisms ⋮ Monotone maps of 𝐺-like continua with positive topological entropy yield indecomposability

Cites Work

• Topological Entropy

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