Author： Prishlyak A. O.
Publisher： Springer Publishing Company
ISSN： 0041-5995
Source： Ukrainian Mathematical Journal, Vol.55, Iss.6, 2003-06, pp. : 966-973
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Abstract
We consider m-fields that are generalizations of the Morse–Smale vector fields for manifolds with boundary. We construct complete topological invariants of m-fields on surfaces and m-fields without closed trajectories on three-dimensional manifolds. We also prove criteria for the topological equivalence of m-fields.
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