Bi-Lipschitz decomposition of Lipschitz functions into a metric space

DOI10.4171/RMI/574zbMath1228.28004arXivmath/0702630MaRDI QIDQ734612

Raanan Schul

Publication date: 13 October 2009

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

Full work available at URL: https://arxiv.org/abs/math/0702630

zbMATH Keywords

Sard's theoremmetric spacebi-LipschitzLipschitzuniform rectifiability

Mathematics Subject Classification ID

Metric geometry (51F99) Length, area, volume, other geometric measure theory (28A75) Nontrigonometric harmonic analysis (42C99)

Related Items (9)

High-dimensional Menger-type curvatures. II: \(d\)-separation and a menagerie of curvatures ⋮ Hard Sard: quantitative implicit function and extension theorems for Lipschitz maps ⋮ Quantitative decompositions of Lipschitz mappings into metric spaces ⋮ A \(d\)-dimensional analyst's travelling salesman theorem for subsets of Hilbert space ⋮ BiLipschitz decomposition of Lipschitz maps between Carnot groups ⋮ A quantitative metric differentiation theorem ⋮ Menger curvature and rectifiability in metric spaces ⋮ Coarse differentiation and quantitative nonembeddability for Carnot groups ⋮ Heat flow and quantitative differentiation

Cites Work

• Morceaux de graphes lipschitziens et intégrales singulières sur une surface
• Wavelets and singular integrals on curves and surfaces
• Lipschitz and bi-Lipschitz functions
• Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
• Thirty-three yes or no questions about mappings, measures, and metrics
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