The Reeb Graph of a Map Germ from ℝ3 to ℝ2 with Isolated Zeros

DOI10.1017/S0013091516000274zbMath1376.58016OpenAlexW2551166590MaRDI QIDQ2989989

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

Publication date: 9 June 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091516000274

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 (4)

The Reeb graph of a map germ from \(\mathbb {R}^3\) to \(\mathbb {R}^2\) with non isolated zeros ⋮ The dual tree of a fold map germ from to ⋮ Round fold maps of n-dimensional manifolds into (n-1)-dimensional Euclidean space ⋮ Topological classification of circle-valued simple Morse-Bott functions

Cites Work

• Unnamed Item
• Topological \({\mathcal{K}}\)-classification of finitely determined map germs
• The link of a finitely determined map germ from \(R^{2}\) to \(R^{2}\)
• Topological classification of corank 1 map germs from \(\mathbb R^3\) to \(\mathbb R^3\)
• On topological types of polynomial mappings
• Gauss words and the topology of map germs from \(\mathbb{R}^3\) to \(\mathbb{R}^3\)
• The doodle of a finitely determined map germ from \(\mathbb R^2\) to \(\mathbb R^3\)
• 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
• Finite Determinacy of Smooth Map-Germs
• Smooth and Topological Equivalence of Functions on Surfaces

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