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

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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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Prishlyak, A.O. Topological Equivalence of Morse–Smale Vector Fields with beh2 on Three-Dimensional Manifolds. Ukrainian Mathematical Journal 54, 603–612 (2002). https://doi.org/10.1023/A:1021035327909

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  • DOI: https://doi.org/10.1023/A:1021035327909

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