Periodic prime knots and topologically transitive flows on 3-manifolds

DOI10.1016/j.topol.2005.03.009zbMath1098.37019OpenAlexW2092790690WikidataQ57441623 ScholiaQ57441623MaRDI QIDQ818368

Michael C. Sullivan, William F. Basener

Publication date: 20 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.03.009

zbMATH Keywords

foliationminimal flowclosed orbitprime knotsdense orbitglobal cross sectionglobal transverse disktopologically transitive flow

Mathematics Subject Classification ID

Related Items (3)

Chaos in a topologically transitive semi-flow ⋮ Multi-sensitivity, syndetical sensitivity and the asymptotic average- shadowing property for continuous semi-flows ⋮ Transverse disks, symbolic dynamics, homology direction vectors, and Thurston-Nielson theory

Cites Work

• Knots and links in three-dimensional flows
• A fixed-point free ergodic flow on the 3-sphere
• Every nonsingular \(C^{1}\) flow on a closed manifold of dimension greater than two has a global transverse disk
• Knots and topologically transitive flows on 3-manifolds.
• Knots and minimal flows on 3-manifolds

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