Every nonsingular \(C^{1}\) flow on a closed manifold of dimension greater than two has a global transverse disk

DOI10.1016/S0166-8641(03)00160-3zbMath1032.37007OpenAlexW2084388271WikidataQ57441636 ScholiaQ57441636MaRDI QIDQ1421973

William F. Basener

Publication date: 3 February 2004

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(03)00160-3

zbMATH Keywords

SuspensionGlobal cross sectionMinimal flow

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (6)

Periodic prime knots and topologically transitive flows on 3-manifolds ⋮ A categorical view of Poincaré maps and suspension flows ⋮ On partial maps derived from flows ⋮ Transverse disks, symbolic dynamics, homology direction vectors, and Thurston-Nielson theory ⋮ The deficiency of a cohomology class ⋮ From curves to currents

Cites Work

• Unnamed Item
• Unnamed Item
• A fixed-point free ergodic flow on the 3-sphere
• Knots and minimal flows on 3-manifolds

This page was built for publication: Every nonsingular \(C^{1}\) flow on a closed manifold of dimension greater than two has a global transverse disk