OAI/Analysis/CircleDomains/Topology/BoundedSphereHomotopy.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

A bounded-displacement plane map extends to a sphere map homotopic to the identity by the straight-line homotopy. Uniform properness proves joint continuity at infinity.

  1. def OAI.CircleDomainRigidity.straightSphereHomotopy line 15
  2. theorem OAI.CircleDomainRigidity.continuous_straightSphereHomotopy line 18
  3. theorem OAI.CircleDomainRigidity.homotopic_id_of_bounded_displacement line 78