OAI/Analysis/RieszRectifiability/Flatness/ContractedDirectionTube.lean

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A linear map that contracts a unit direction sends vectors close to a lower-dimensional subspace. Orthogonal projection extends this estimate to the image of a tube around a subspace.

  1. theorem OAI.RieszRectifiability.contracted_direction_image_near_lower_subspace line 18
  2. theorem OAI.RieszRectifiability.contracted_plane_tube_image_subset line 54
  3. theorem OAI.RieszRectifiability.contracted_plane_tube_image_real_measure_bound line 89