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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Odesa National University of Technology
2023-11-01
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Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
Subjects: | |
Online Access: | https://journals.ontu.edu.ua/index.php/geometry/article/view/2512 |