Metrically un-knotted corank 1 singularities of surfaces in \(\mathbb {R}^4\)

DOI10.1007/S12220-017-9973-2zbMath1470.14007arXiv1706.06669OpenAlexW2692738186MaRDI QIDQ1711070

Rodrigo Mendes, Lev Birbrair, Juan Jose Nuño-Ballesteros

Publication date: 16 January 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06669

zbMATH Keywords

linkisolated singularitynormal embedding

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Topological properties of mappings on manifolds (58K15)

Related Items (3)

Lipschitz Normal Embedding Among Superisolated Singularities ⋮ On a link criterion for Lipschitz normal embeddings among definable sets ⋮ A characterization of Lipschitz normally embedded surface singularities

Cites Work

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• The doodle of a finitely determined map germ from \(\mathbb R^2\) to \(\mathbb R^3\)
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• Normal embeddings of semialgebraic sets
• Exceptional rays and bilipschitz geometry of real surface singularities
• Arc criterion of normal embedding
• Singularities of 2-spheres in 4-space and cobordism of knots
• Knots and the topology of singular surfaces in ℝ⁴
• Multiple Point Schemes for Corank 1 Maps
• Metric theory of semialgebraic curves

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