The link of a finitely determined map germ from \(R^{2}\) to \(R^{2}\)

DOI10.2969/jmsj/06241069zbMath1225.58018OpenAlexW2053018757MaRDI QIDQ616645

Juan Jose Nuño-Ballesteros, Juan Antonio Moya-Pérez

Publication date: 12 January 2011

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

Full work available at URL: https://doi.org/10.2969/jmsj/06241069

zbMATH Keywords

linkreal singularitiesfinitely determined map germstopological classificationGauss word

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 (10)

The Reeb graph of a map germ from \(\mathbb {R}^3\) to \(\mathbb {R}^2\) with non isolated zeros ⋮ Topological \({\mathcal{K}}\)-classification of finitely determined map germs ⋮ Some remarks about the topology of corank 2 map germs from R^2 to R^2 ⋮ Gauss words and the topology of map germs from \(\mathbb{R}^3\) to \(\mathbb{R}^3\) ⋮ The dual tree of a fold map germ from to ⋮ The link of a frontal surface singularity ⋮ The Reeb Graph of a Map Germ from ℝ³ to ℝ² with Isolated Zeros ⋮ Topological classification of corank 1 map germs from \(\mathbb R^3\) to \(\mathbb R^3\) ⋮ On polynomial mappings from the plane to the plane ⋮ On bifurcations of cusps

Cites Work

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• An algebraic formula for the topological types of one parameter bifurcation diagrams
• The doodle of a finitely determined map germ from \(\mathbb R^2\) to \(\mathbb R^3\)
• On the number of cusps of stable perturbations of a plane-to-plane singularity
• Finite determinacy and topological triviality. I
• Local topological properties of differentiable mappings. I
• Families of Maps from the Plane to The Plane
• Finite Determinacy of Smooth Map-Germs
• Weighted homogeneous maps from the plane to the plane
• Cusps and Double Folds of Germs of Analytic Maps C² → C²
• Singular Points of Complex Hypersurfaces. (AM-61)

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