OAI/MeasureTheory/Falconer/Angular/CapDenominator.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

Uniform bounds for the cap partition denominator

Only centers whose closed cap contains the point contribute to a derivative. The proved local packing bound therefore controls the sum independently of the total number of caps.

  1. def OAI.Falconer.capDenominator line 17
  2. theorem OAI.Falconer.capDenominator_contDiff line 21
  3. theorem OAI.Falconer.capDenominator_ge_one line 25
  4. theorem OAI.Falconer.capDenominator_chart_derivatives line 37