On the number of the classes of topological conjugacy of Pixton diffeomorphisms

DOI10.1007/S12346-021-00518-1zbMath1478.37034OpenAlexW3194215559MaRDI QIDQ1981917

Peter M. Akhmetiev, Olga V. Pochinka, Timur V. Medvedev

Publication date: 7 September 2021

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-021-00518-1

zbMATH Keywords

homotopy invariantHopf knotPixton diffeomorphism

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Knot theory (57K10)

Related Items (1)

Knot as a complete invariant of a Morse-Smale 3-diffeomorphism with four fixed points;Узел как полный инвариант 3-диффеоморфизмов Морса-Смейла с четырьмя неподвижными точками

Cites Work

• Dynamical systems on 2- and 3-manifolds
• Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\)
• A note on some contractible 4-manifolds
• Some wild cells and spheres in three-dimensional space
• The Embedding of Two-Spheres in the Four-Sphere
• Knot invariants in 3-manifolds and essential tori.
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