Topological structure of functions with isolated critical points on a 3-manifold

To each isolated critical point of a smooth function on a 3-manifold we put in correspondence a tree (graph without cycles). We will prove that functions are topologically equivalent in the neighbourhoods of critical points if and only if the corresponding trees are isomorphic. A complete topologica...

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Bibliographic Details
Main Authors: Bohdana Hladysh, Maria Loseva, Alexandr Olegovich Prishlyak
Format: Article
Language:English
Published: Odesa National University of Technology 2023-11-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:https://journals.ontu.edu.ua/index.php/geometry/article/view/2512