Topological Equivalence of Morse–Smale Vector Fields with beh2 on Three-Dimensional Manifolds

Author： Prishlyak A.O.  

Publisher： Springer Publishing Company

ISSN： 0041-5995

Source： Ukrainian Mathematical Journal, Vol.54, Iss.4, 2002-04, pp. : 603-612

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Abstract

For the Morse–Smale vector fields with beh2 on three-dimensional manifolds, we construct complete topological invariants: diagram, minimal diagram, and recognizing graph. We prove a criterion for the topological equivalence of these vector fields.

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