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

DOI10.15673/pigc.v16i3.2512arXiv1905.09072OpenAlexW2946345033MaRDI QIDQ6091752

Unnamed Author, B. I. Hladysh, O. O. Pryshlyak

Publication date: 27 November 2023

Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09072

zbMATH Keywords

critical point3-manifoldtopological equivalence

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Singularities of differentiable mappings in differential topology (57R45) Critical points and critical submanifolds in differential topology (57R70)

Cites Work

• Functions with nondegenerate critical points on the boundary of the surface
• Topological equivalence of smooth functions with isolated critical points on a closed surface
• Optimal Morse-Smale flows with singularities on the boundary of a surface
• Topology of functions with isolated critical points on the boundary of a 2-dimensional manifold
• Topological classification of Morse functions and generalisations of Hilbert's 16-th problem
• The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category
• Conjugacy of Morse functions on 4-manifolds
• Simple Morse Functions on an Oriented Surface with Boundary
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