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

• Date: 2025
• Main Authors: Prishlyak, O., Kiosak, V, Savchenko, O., Пришляк, Александр, Пришляк, Олександр, Кіосак, Володимир, Савченко, Олександр
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8095
• Journal Title: 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...