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

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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Bibliographic Details
Date:2002
Main Authors: Prishlyak, O. O., Пришляк, А. О.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2002
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4087
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal