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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.