OAI/Geometry/SurfaceImmersion/Primitive/PrimitiveCycleBounds.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

One fixed cycle count controls all partial metrics. The estimates allow a different exact primitive decomposition in every cycle.

  1. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothPrimitiveFamily.partial_tensor_bound line 28
  2. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothPrimitiveFamily.scaled_partial_tensor_bound line 44
  3. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothPrimitiveFamily.cycleMetric_bound line 55
  4. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothPrimitiveFamily.exists_cycle_count line 77