Characterizations of rectifiable metric measure spaces

DOI10.24033/asens.2314zbMath1369.28002arXiv1409.4242OpenAlexW1026682281MaRDI QIDQ2981850

David Bate, Sean Li

Publication date: 10 May 2017

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4242

zbMATH Keywords

Alberti representation\(n\)-density\(n\)-rectifiabilityDavid conditionLipschitz differentiabilitymetric measurable space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Length, area, volume, other geometric measure theory (28A75)

Related Items (12)

Tangent lines and Lipschitz differentiability spaces ⋮ Generalized rectifiability of measures and the identification problem ⋮ Rigidity for convex-cocompact actions on rank-one symmetric spaces ⋮ Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions ⋮ Subsets of rectifiable curves in Banach spaces. I: Sharp exponents in traveling salesman theorems ⋮ Identifying 1-rectifiable measures in Carnot groups ⋮ Characterizing spaces satisfying Poincaré inequalities and applications to differentiability ⋮ On the Lipschitz dimension of Cheeger–Kleiner ⋮ Multiscale analysis of 1-rectifiable measures. II: Characterizations ⋮ Abstract and concrete tangent modules on Lipschitz differentiability spaces ⋮ Two sufficient conditions for rectifiable measures ⋮ Sierpinski-type fractals are differentiably trivial

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