OAI/Geometry/SurfaceImmersion/Whitney/QuadraticDoubleTransverse.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Away from its endpoint the double curve of a quadratic crosscap is transverse: the difference map on the two source sheets is a submersion.

  1. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.quadraticDoubleDifference line 13
  2. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.quadraticDoubleDifference_smooth line 17
  3. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.quadraticDoubleDifference_fderiv line 22
  4. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.quadraticDoubleDifference_at_kernel line 32
  5. theorem OAI.ClosedSurfaceR4.FiniteOrderSmoothing.quadratic_crosscap_double_transverse line 42