OAI/Topology/ArtinGroups/ParabolicIntersections/VisualTreeProperties.lean
3 declarations, 0 contain sorry, 0 declared as axioms
Proper stabilizers and branching in the visual Bass--Serre tree.
- lemma
OAI.HarmonicArtin.ParabolicIntersections.visual_preservesAdjline 16 - lemma
OAI.HarmonicArtin.ParabolicIntersections.visual_vertex_properline 21 - lemma
OAI.HarmonicArtin.ParabolicIntersections.visual_branchingline 34Source documentation
Every direction at every vertex can be moved by its stabilizer.
lemma visual_branching (v w : VisualVertex M Y Z) (h : (visualGraph M Y Z).Adj v w) : ∃ a : Artin M, a • v=v ∧ a • w≠w := by …Mentions: OAI.HarmonicArtin.ParabolicIntersections.VisualVertex, OAI.HarmonicArtin.ParabolicIntersections.visualGraph, OAI.HarmonicArtin.Artin