OAI/Geometry/HyperbolicGroups/VoltageGraphHomotopy.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

A coherent contraction of the actual lifted one-skeleton. The negative orientation uses spatial reversal of the SAME square, not another choice.

  1. lemma OAI.HyperbolicObstruction.FinitePolyhedron.Voltage.value_reverse_mul line 19
  2. def OAI.HyperbolicObstruction.FinitePolyhedron.Voltage.vertexTrack line 24
  3. lemma OAI.HyperbolicObstruction.FinitePolyhedron.Voltage.vertexTrack_fixed line 30
  4. def OAI.HyperbolicObstruction.FinitePolyhedron.Voltage.rawEdgeHomotopy line 34
  5. def OAI.HyperbolicObstruction.FinitePolyhedron.Voltage.edgeHomotopy line 38
  6. lemma OAI.HyperbolicObstruction.FinitePolyhedron.Voltage.edgeHomotopy_initial line 44
  7. lemma OAI.HyperbolicObstruction.FinitePolyhedron.Voltage.edgeHomotopy_final line 56
  8. lemma OAI.HyperbolicObstruction.FinitePolyhedron.Voltage.edgeHomotopy_left line 64
  9. lemma OAI.HyperbolicObstruction.FinitePolyhedron.Voltage.edgeHomotopy_right line 73
  10. lemma OAI.HyperbolicObstruction.FinitePolyhedron.Voltage.edgeHomotopy_reverse line 84