OAI/Geometry/RCD/Harmonic/CompressedRadialTime.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Small-time radial contraction with uniform path compression

The prescribed marginal retains the sharp small-time density bound. Replacing the intervening transport by a bounded-compression plan preserves that marginal and, by optimal cost rigidity, its radial displacement.

  1. def OAI.RegularPointCoordinates.radialPathBudget line 19
  2. theorem OAI.RegularPointCoordinates.radialPathBudget_ne_top line 22
  3. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.exists_compressed_radial_time line 29