On the extension of bi-Lipschitz mappings

DOI10.1007/s00029-021-00625-6zbMath1469.14117arXiv2001.00753OpenAlexW3134042615MaRDI QIDQ2658746

Lev Birbrair, Zbigniew Jelonek, Alexandre C. G. Fernandes

Publication date: 24 March 2021

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00753

zbMATH Keywords

bi-Lipschitz embeddingreal semialgebraic setbi-Lipschitz homeomorphism of \(\mathbb{R}^n\)

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Semialgebraic sets and related spaces (14P10) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items (2)

Algebraic compressed sensing ⋮ Lipschitz geometry and combinatorics of abnormal surface germs

Cites Work

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• Lipschitz normal embeddings in the space of matrices
• The extension of regular and rational embeddings
• Normal embeddings of semialgebraic sets
• On the embedding dimension of an affine variety
• Lipschitz regular complex algebraic sets are smooth
• Lipschitz geometry of complex curves
• Definable versions of theorems by Kirszbraun and Helly
• Manifolds with a unique embedding
• Extensions of Isomorphisms between Affine Algebraic Subvarieties of k n Automorphisms of k n
• On the number of the cusps of cuspidal plane curves
• Über die zusammenziehende und Lipschitzsche Transformationen
• Lipschitz Geometry Does not Determine Embedded Topological Type
• Ambient Lipschitz Equivalence of Real Surface Singularities
• Metric theory of semialgebraic curves

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