Distinguishing graph of function with three critical points on a closed 3-manifold

• Datum: 2025
• Hauptverfasser: Prishlyak, O., Kiosak, V, Savchenko, O., Пришляк, Александр, Пришляк, Олександр, Кіосак, Володимир, Савченко, Олександр
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2025
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8095
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 515.1 We investigate a critical-point graph as a topological invariant of an isolated critical point of a smooth function on a 3-manifold. The distinguishing graph, which is a complete topological invariant of functions with three critical points on a closed 3-manifold, is construct...