OAI/Analysis/CircleDomains/Topology/SmallPerturbationHomeomorph.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Small globally Lipschitz perturbations of the identity give actual ambient homeomorphisms. These are the deformation maps for regular collars.

  1. lemma OAI.CircleDomainRigidity.approximatesLinearOn_id_add line 17
  2. def OAI.CircleDomainRigidity.smallPerturbationHomeomorph line 27
  3. lemma OAI.CircleDomainRigidity.smallPerturbationHomeomorph_apply line 32
  4. lemma OAI.CircleDomainRigidity.smallPerturbationHomeomorph_inverse_dist line 36
  5. lemma OAI.CircleDomainRigidity.smallPerturbationHomeomorph_smooth line 51
  6. lemma OAI.CircleDomainRigidity.id_add_fderiv_injective line 56
  7. lemma OAI.CircleDomainRigidity.smallPerturbationHomeomorph_inverse_smooth line 76