Doubling subsets of Hilbert space admit pointwise and coarse tangent fields whose dimension is bounded by the Nagata or Assouad dimension of the set.
Structure of measures in Lipschitz differentiability spaces
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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.