Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary

• Дата: 2003
• Автори: Prishlyak, O. O., Пришляк, А. О.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2003
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3954
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 equival...