Doubling subsets of Hilbert space admit pointwise and coarse tangent fields whose dimension is bounded by the Nagata or Assouad dimension of the set.
Analysis of and on uniformly rectifiable sets , volume 38 of Mathematical Surveys and Monographs
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Coarse and pointwise tangent fields
Doubling subsets of Hilbert space admit pointwise and coarse tangent fields whose dimension is bounded by the Nagata or Assouad dimension of the set.