OAI/Topology/ArtinGroups/ParabolicIntersections/TreeShortcutAcylindrical.lean

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Uniform acylindricity of the graph obtained by coning off segment-free paths.

  1. theorem OAI.HarmonicArtin.ParabolicIntersections.TreeAction.avoidingGraph_acylindrical_count line 15

    Source documentation

    The constants depend only on displacement and on the chosen free segment, even when the original tree has infinite-valence vertices.

    theorem avoidingGraph_acylindrical_count (hT : T.IsTree)
        (hA : PreservesAdj (G := G) T) (hfree : pairStabilizer (G := G) u v=⊥)
    …

    Mentions: OAI.HarmonicArtin.ParabolicIntersections.TreeAction.PreservesAdj, OAI.HarmonicArtin.ParabolicIntersections.TreeAction.pairStabilizer