OAI/Topology/CoarseAssembly/CompactHomotopy.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Compact homotopy invariance in the actual Fredholm presentation

A homotopy of maps gives a point-norm continuous homotopy of pulled-back representations. Its Fredholm operator stays fixed. This discharges the homotopy field of the published filling input directly from the definitions.

  1. def OAI.CoarseAssembly.Analytic.homotopySlice line 24
  2. theorem OAI.CoarseAssembly.Analytic.homotopySlice_start line 28
  3. theorem OAI.CoarseAssembly.Analytic.homotopySlice_finish line 34
  4. theorem OAI.CoarseAssembly.Analytic.pullback_homotopy_continuous line 39
  5. def OAI.CoarseAssembly.Analytic.pullbackCycleHomotopy line 49
  6. theorem OAI.CoarseAssembly.Analytic.pullbackCycleHomotopy_start line 62
  7. theorem OAI.CoarseAssembly.Analytic.pullbackCycleHomotopy_finish line 68
  8. theorem OAI.CoarseAssembly.Analytic.compact_homotopy_invariance line 74