Topological classification of corank 1 map germs from \(\mathbb R^3\) to \(\mathbb R^3\)

DOI10.1007/S13163-013-0137-ZzbMath1315.58022OpenAlexW2076951736MaRDI QIDQ743623

Juan Antonio Moya-Pérez, Juan Jose Nuño-Ballesteros

Publication date: 25 September 2014

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-013-0137-z

zbMATH Keywords

linkfinite determinacyGauss paragraph

Mathematics Subject Classification ID

Topological properties of mappings on manifolds (58K15) Classification; finite determinacy of map germs (58K40) Deformation of singularities (58K60)

Related Items (6)

Counting signed swallowtails of polynomial selfmaps of \(\mathbb R^3\) ⋮ The Reeb graph of a map germ from \(\mathbb {R}^3\) to \(\mathbb {R}^2\) with non isolated zeros ⋮ 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

Cites Work

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• Stable maps between 2-spheres with a connected fold curve
• Finitely determined singularities of ruled surfaces in ³
• Finite Determinacy of Smooth Map-Germs
• Classifying Immersed Curves
• A Global Theorem for Singularities of Maps between Oriented 2-Manifolds
• On the geometry of simple germs of co-rank 1 maps from ℝ³ to ℝ³
• Fold Maps from the Sphere to the Plane
• Singular Points of Complex Hypersurfaces. (AM-61)

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