Doubling subsets of Hilbert space admit pointwise and coarse tangent fields whose dimension is bounded by the Nagata or Assouad dimension of the set.
A T (b) theorem with remarks on analytic capacity and the Cauchy integral
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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.