OAI/Geometry/HyperbolicGroups/Selection.lean
5 declarations, 0 contain sorry, 0 declared as axioms
- structure
OAI.HyperbolicObstruction.CATActionWitnessline 16Source documentation
A genuine action on an arbitrary chosen space in the specified universe.
structure CATActionWitness (G : Type a) [Group G] where …
- lemma
OAI.HyperbolicObstruction.catActionWitness_iffline 28 - theorem
OAI.HyperbolicObstruction.SamplingSequence.reindexline 45 - theorem
OAI.HyperbolicObstruction.MasterGraph.exists_noActionline 84Source 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 … - theorem
OAI.HyperbolicObstruction.MasterGraph.eventually_noActionline 100Source documentation
Eventually the groups admit no geometric CAT(0) action.
theorem eventually_noAction : ∀ᶠ n in atTop, NoGeometricCATZeroAction.{b} (G n) := by …