OAI/Geometry/HyperbolicGroups/Selection.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

  1. structure OAI.HyperbolicObstruction.CATActionWitness line 16

    Source documentation

    A genuine action on an arbitrary chosen space in the specified universe.

    structure CATActionWitness (G : Type a) [Group G] where
    …
  2. lemma OAI.HyperbolicObstruction.catActionWitness_iff line 28
  3. theorem OAI.HyperbolicObstruction.SamplingSequence.reindex line 45
  4. theorem OAI.HyperbolicObstruction.MasterGraph.exists_noAction line 84

    Source documentation

    The geometric half of selection: any infinite-group sequence with the literal sampling assertions and six-letter rows has a no-action member.

    theorem exists_noAction : ∃ n, NoGeometricCATZeroAction.{b} (G n) := by
    …
  5. theorem OAI.HyperbolicObstruction.MasterGraph.eventually_noAction line 100

    Source documentation

    Eventually the groups admit no geometric CAT(0) action.

    theorem eventually_noAction : ∀ᶠ n in atTop, NoGeometricCATZeroAction.{b} (G n) := by
    …