OAI/Topology/ArtinGroups/ParabolicIntersections/VisualTreeProperties.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

Proper stabilizers and branching in the visual Bass--Serre tree.

  1. lemma OAI.HarmonicArtin.ParabolicIntersections.visual_preservesAdj line 16
  2. lemma OAI.HarmonicArtin.ParabolicIntersections.visual_vertex_proper line 21
  3. lemma OAI.HarmonicArtin.ParabolicIntersections.visual_branching line 34

    Source 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