An implicit theorem for Lipschitz mappings into metric spaces

DOI10.1512/iumj.2020.69.8343zbMath1443.51005arXiv1809.06829OpenAlexW3008738518MaRDI QIDQ5109024

Scott Zimmerman, Piotr Hajłasz

Publication date: 7 May 2020

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06829

zbMATH Keywords

metric spacesimplicit function theoremLipschitz mappings

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Special maps on metric spaces (54E40) Lipschitz and coarse geometry of metric spaces (51F30)

Related Items (3)

Lower bounds on mapping content and quantitative factorization through trees ⋮ Lipschitz mappings, metric differentiability, and factorization through metric trees ⋮ Quantitative decompositions of Lipschitz mappings into metric spaces

Cites Work

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• A singular map of a cube onto a square
• Rectifiable sets in metric and Banach spaces
• Weak BLD mappings and Hausdorff measure
• Hard Sard: quantitative implicit function and extension theorems for Lipschitz maps
• On conditions for unrectifiability of a metric space
• Rectifiable sets and coarea formula for metric-valued mappings
• On totally differentiable and smooth functions
• Sobolev Spaces on Metric Measure Spaces
• Increasing Sequences of Sets and Hausdorff Measure

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