Links of homeomorphisms of a disk and topological entropy

DOI10.1007/BF01388553zbMath0585.57005MaRDI QIDQ1070582

Tsuyoshi Kobayashi

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143224

zbMATH Keywords

chaossuspensionperiodic pointspseudo-Anosov homeomorphismspositive entropylink in \(S^ 3\)orientation preserving homeomorphism of a disc

Mathematics Subject Classification ID

Topological dynamics (37B99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Non-expansive Hénon maps ⋮ Chaotic knots and wild dynamics ⋮ Unnamed Item ⋮ Links of homeomorphisms of surfaces and topological entropy

Cites Work

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• The number and linking of periodic solutions of periodic systems
• Links of homeomorphisms of surfaces and topological entropy
• New proofs of some results of Nielsen
• The Gromov invariant of links
• The dynamical complexity of orientation reversing homeomorphisms of surfaces
• Geodesic laminations from Nielsen's viewpoint
• The entropy of orientation reversing homeomorphisms of surfaces
• The periodic points of maps of the disk and the interval
• Periodic points of surface homeomorphisms with zero entropy