Topological classification of circle-valued simple Morse-Bott functions

DOI10.5427/jsing.2018.17qzbMath1407.58013OpenAlexW2978464996MaRDI QIDQ4962131

Erica Boizan Batista, João Carlos Ferreira Costa, Ingrid S. Meza-Sarmiento

Publication date: 30 October 2018

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5427/jsing.2018.17q

zbMATH Keywords

topological equivalencetopological invariantReeb graphrealization theoremMorse-Bott functions

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Topological invariants on manifolds (58K65) Critical points and critical submanifolds in differential topology (57R70) Topological properties of mappings on manifolds (58K15)

Related Items (3)

Reeb graphs of circle-valued functions: a survey and basic facts ⋮ Stable Bi-Maps on Surfaces and Their Graphs ⋮ Realization of a digraph as the Reeb graph of a Morse-Bott function on a given surface

Cites Work

• Unnamed Item
• Topological classification of Morse functions and generalisations of Hilbert's 16-th problem
• A proof of the Morse-Bott lemma.
• The Reeb Graph of a Map Germ from ℝ³ to ℝ² with Isolated Zeros
• Statistics and classification of topologies of periodic functions and trigonometric polynomials

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