Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary

DOI10.1023/B:UKMA.0000010596.67853.89zbMath1020.37005OpenAlexW2040852121MaRDI QIDQ4416258

O. O. Pryshlyak

Publication date: 7 August 2003

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:ukma.0000010596.67853.89

zbMATH Keywords

diagrammanifold with boundarytopological equivalencetopological invariantMorse-Smale vector field\(m\)-fieldrecognizing graph

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by flows and semiflows (37C10) Singularities of vector fields, topological aspects (58K45) Topological invariants on manifolds (58K65) Morse-Smale systems (37D15)

Related Items (4)

Flows with minimal number of singularities in the Boy's surface ⋮ Topological structure of optimal flows on the Girl's surface ⋮ Morse flows with fixed points on the boundary of 3-manifolds ⋮ Three-color graph of the Morse flow on a compact surface with boundary

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