Lipschitz mappings, metric differentiability, and factorization through metric trees
DOI10.1112/jlms.12644arXiv2106.15763OpenAlexW3176846435WikidataQ114077836 ScholiaQ114077836MaRDI QIDQ6134546
Publication date: 22 August 2023
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.15763
Length, area, volume, other geometric measure theory (28A75) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Dimension theory in general topology (54F45) Hausdorff and packing measures (28A78) Sub-Riemannian geometry (53C17) Analysis on metric spaces (30L99) Lipschitz and coarse geometry of metric spaces (51F30)
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Cites Work
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- Lipschitz and path isometric embeddings of metric spaces
- Characterizations of metric trees and Gromov hyperbolic spaces
- Elliptic equations and maps of bounded length distortion
- Lectures on analysis on metric spaces
- Rectifiable sets in metric and Banach spaces
- Weak BLD mappings and Hausdorff measure
- Intrinsic structure of minimal discs in metric spaces
- Hard Sard: quantitative implicit function and extension theorems for Lipschitz maps
- On conditions for unrectifiability of a metric space
- Lipschitz extensions into jet space Carnot groups
- Metric-minimizing surfaces revisited
- Lipschitz homotopy groups of the Heisenberg groups
- On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target
- Dimensions of ℝ-trees and self-similar fractal spaces of nonpositive curvature
- Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
- The coarea inequality
- An implicit theorem for Lipschitz mappings into metric spaces