Purely unrectifiable metric spaces and perturbations of Lipschitz functions

DOI10.4310/ACTA.2020.v224.n1.a1zbMath1440.28004arXiv1712.07139OpenAlexW3100401878MaRDI QIDQ2175210

David Bate

Publication date: 28 April 2020

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.07139

zbMATH Keywords

Lipschitz mapunrectifiable setAlberti representationweak tangent field

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78)

Related Items (7)

Generalized rectifiability of measures and the identification problem ⋮ Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions ⋮ Injectivity of Lipschitz operators ⋮ Identifying 1-rectifiable measures in Carnot groups ⋮ A note on topological dimension, Hausdorff measure, and rectifiability ⋮ Dimensional estimates and rectifiability for measures satisfying linear PDE constraints ⋮ Characterising rectifiable metric spaces using tangent spaces

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