Hopf problem: uniformization · triangle uniformization gluing #
Supporting definitions and proofs for this stage of the six-sphere construction.
theorem
Mathoverflow1973.TriangleUniformizationGluing.contMDiff_symm_of_contMDiff
{M : Type u_1}
{N : Type u_2}
[TopologicalSpace M]
[TopologicalSpace N]
[ChartedSpace ℂ M]
[ChartedSpace ℂ N]
[IsManifold (modelWithCornersSelf ℂ ℂ) ⊤ M]
[IsManifold (modelWithCornersSelf ℂ ℂ) ⊤ N]
(e : M ≃ₜ N)
(he : ContMDiff (modelWithCornersSelf ℂ ℂ) (modelWithCornersSelf ℂ ℂ) ⊤ ⇑e)
:
ContMDiff (modelWithCornersSelf ℂ ℂ) (modelWithCornersSelf ℂ ℂ) ⊤ ⇑e.symm