Three-color graph of the Morse flow on a compact surface with boundary

DOI10.1007/s10958-020-04964-1zbMath1452.37050OpenAlexW3069252087MaRDI QIDQ2202858

A. A. Prus, O. O. Pryshlyak

Publication date: 30 September 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-04964-1

zbMATH Keywords

topological invariantthree-color graphcompact surfacesMorse flows

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Coloring of graphs and hypergraphs (05C15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Topological invariants on manifolds (58K65) Morse-Smale systems (37D15)

Related Items (3)

Topological structure of optimal flows on the Girl's surface ⋮ Morse flows with fixed points on the boundary of 3-manifolds ⋮ Discrete representations of orbit structures of flows for topological data analysis

Cites Work

• A proof of the \(C^ 1\) stability conjecture
• Optimal Morse-Smale flows with singularities on the boundary of a surface
• A structural stability theorem
• Structural stability on two-dimensional manifolds. A further remark
• Classification of Morse-Smale flows on two-dimensional manifolds
• Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary
• A multicolour graph as a complete topological invariant for $ \Omega$-stable flows without periodic trajectories on surfaces
• Потоки Морса-Смейла на торі з діркою
• Trajectory equivalence of optimal Morse flows on closed surfaces
• Structural stability on manifolds with boundary
• Structural stability on manifolds with boundary
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Three-color graph of the Morse flow on a compact surface with boundary