The Reeb graph of a map germ from \(\mathbb {R}^3\) to \(\mathbb {R}^2\) with non isolated zeros

DOI10.1007/s00574-017-0058-4zbMath1415.58022OpenAlexW2770049541MaRDI QIDQ1670516

Erica Boizan Batista, João Carlos Ferreira Costa, Juan Jose Nuño-Ballesteros

Publication date: 5 September 2018

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-017-0058-4

zbMATH Keywords

classificationlinktopological equivalenceReeb graph

Mathematics Subject Classification ID

Topological invariants on manifolds (58K65) Topological properties of mappings on manifolds (58K15) Classification; finite determinacy of map germs (58K40)

Related Items (2)

Stable Bi-Maps on Surfaces and Their Graphs ⋮ The dual tree of a fold map germ from to

Cites Work

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• Local topological properties of differentiable mappings. II
• Local topological properties of differentiable mappings. I
• Topological equivalence of smooth functions with isolated critical points on a closed surface
• Topological classification of Morse functions and generalisations of Hilbert's 16-th problem
• The Reeb Graph of a Map Germ from ℝ³ to ℝ² with Isolated Zeros
• Finite Determinacy of Smooth Map-Germs
• Smooth and Topological Equivalence of Functions on Surfaces

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