OAI/Analysis/RieszRectifiability/Limits/CompactnessWeightIntegrals.lean

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Integrability of the compactness weight

Local finiteness controls the weight on closed balls, while polynomial upper growth controls its exterior integral. Together these give global integrability and a quantitative mass bound.

  1. theorem OAI.RieszRectifiability.compactnessWeight_integrableOn_closedBall line 21
  2. theorem OAI.RieszRectifiability.compactnessWeight_integrableOn_exterior line 30
  3. theorem OAI.RieszRectifiability.compactnessWeight_exterior_integral_bound line 42
  4. theorem OAI.RieszRectifiability.compactnessWeight_integrable line 55
  5. theorem OAI.RieszRectifiability.compactnessWeight_integral_bound line 69