Tangent Cones of Lipschitz Normally Embedded Sets Are Lipschitz Normally Embedded. Appendix by Anne Pichon and Walter D. Neumann

DOI10.1093/imrn/rnx290zbMath1457.32014arXiv1705.00038OpenAlexW2963932401MaRDI QIDQ5855179

Alexandre C. G. Fernandes, José Edson Sampaio

Publication date: 15 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00038

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items (6)

Multiplicity, regularity and Lipschitz geometry of real analytic hypersurfaces ⋮ Lipschitz Normal Embedding Among Superisolated Singularities ⋮ On Lipschitz normally embedded complex surface germs ⋮ On a link criterion for Lipschitz normal embeddings among definable sets ⋮ A characterization of Lipschitz normally embedded surface singularities ⋮ Lipschitz normally embedded set and tangent cones at infinity

Cites Work

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• Densité des ensembles sous-analytiques. (On the density of subanalytic sets)
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• Normal embeddings of semialgebraic sets
• The thick-thin decomposition and the bilipschitz classification of normal surface singularities
• Intersection theory in analytic geometry
• Minimal surface singularities are Lipschitz normally embedded
• Lipschitz stratification of subanalytic sets
• Thin-thick decomposition for real definable isolated singularities
• EXAMPLES OF SINGULAR NORMAL COMPLEX SPACES WHICH ARE TOPOLOGICAL MANIFOLDS

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