Composite knots in the figure-8 knot complement can have any number of prime factors

DOI10.1016/0166-8641(94)90041-8zbMath0812.57012OpenAlexW2007565071MaRDI QIDQ1315472

Michael C. Sullivan

Publication date: 16 May 1995

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

Full work available at URL: https://opensiuc.lib.siu.edu/math_articles/64

zbMATH Keywords

templatesnumber of prime factorsAnosov flowknot types of the periodic orbits

Mathematics Subject Classification ID

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

Related Items (3)

A zeta function for flows with positive templates ⋮ Quantum Invariants of Templates ⋮ Knots on a positive template have a bounded number of prime factors

Cites Work

• Unnamed Item
• Knotted periodic orbits in dynamical system. II. Knot holders for fibered knots
• Entropy and Knots
• Lorenz knots are prime
• PRIME DECOMPOSITION OF KNOTS IN LORENZ-LIKE TEMPLATES
• THE PRIME DECOMPOSITION OF KNOTTED PERIODIC ORBITS IN DYNAMICAL SYSTEMS

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