A machine-checked solution to the Jacobians challenge

6. mapping degree🔗

The mapping degree machine: regular values, critical-value finiteness, fibre counting, well-definedness of the degree (largest unit; contains the ported degree-well-definedness tree).

49 modules, 8,645 lines, under Jacobians/MappingDegree/.

  1. 6.1. Keystones
  2. 6.2. Builds on
  3. 6.3. MappingDegree
  4. 6.4. MappingDegree.AnalyticContinuationGlobalization
  5. 6.5. MappingDegree.AnalyticFiberDiscrete
  6. 6.6. MappingDegree.AnalyticKthRoot
  7. 6.7. MappingDegree.ChartBallOffCentreWitnessDischarge
  8. 6.8. MappingDegree.ChartLocalDetour
  9. 6.9. MappingDegree.ChartOverlapAvoidanceFull
  10. 6.10. MappingDegree.ChartOverlapPropagationDischarge
  11. 6.11. MappingDegree.ChartPullbackDataConstruction
  12. 6.12. MappingDegree.ChartPullbackNotEventuallyConstDischarge
  13. 6.13. MappingDegree.ChartRestrictionToBall
  14. 6.14. MappingDegree.ChartedSpaceLocPathConnected
  15. 6.15. MappingDegree.ClopennessOfLocallyConstDischarge
  16. 6.16. MappingDegree.ConnectedManifoldPathConnected
  17. 6.17. MappingDegree.ConnectivityGlobalizationReduction
  18. 6.18. MappingDegree.CriticalSetDerivBridge
  19. 6.19. MappingDegree.CriticalSetDiscrete
  20. 6.20. MappingDegree.CriticalValueSetFinite
  21. 6.21. MappingDegree.CriticalValuesFiniteGeneral
  22. 6.22. MappingDegree.Degree
  23. 6.23. MappingDegree.DegreeWellDefined
  24. 6.24. MappingDegree.FibreCardLocallyConstantFromNormalForm
  25. 6.25. MappingDegree.FibreCardOnRegularSubset
  26. 6.26. MappingDegree.FibreCardWellDefinedAtRegular
  27. 6.27. MappingDegree.FibresFiniteAssembly
  28. 6.28. MappingDegree.FibresFiniteUnconditional
  29. 6.29. MappingDegree.HLcUnconditional
  30. 6.30. MappingDegree.HPkgUnconditional
  31. 6.31. MappingDegree.HurwitzPatchingDataConstruction
  32. 6.32. MappingDegree.HurwitzWellDefinedFromHPath
  33. 6.33. MappingDegree.HurwitzWellDefinedUnconditionalTopo
  34. 6.34. MappingDegree.IsPathConnectedBallMinusCountable
  35. 6.35. MappingDegree.LocalKFoldMultiplicity
  36. 6.36. MappingDegree.LocalKFoldMultiplicityFullyUnconditional
  37. 6.37. MappingDegree.LocalKFoldMultiplicityUnconditional
  38. 6.38. MappingDegree.LocalMultiplicityInvariance
  39. 6.39. MappingDegree.LocalNormalForm
  40. 6.40. MappingDegree.LocalSheetDataAtRegularValue
  41. 6.41. MappingDegree.LocalSheetDataFromContMDiff
  42. 6.42. MappingDegree.MeromorphicDivisor
  43. 6.43. MappingDegree.PathConnectedComplFinite
  44. 6.44. MappingDegree.PathSubdivisionByBallCharts
  45. 6.45. MappingDegree.PerChartNonConstancyReduction
  46. 6.46. MappingDegree.PreconnectedFromFiniteComplement
  47. 6.47. MappingDegree.RegularSubsetPreconnected
  48. 6.48. MappingDegree.RegularValueExistsRegUnconditional
  49. 6.49. MappingDegree.RegularValueExistsUnconditional
  50. 6.50. MappingDegree.RoucheBridge
  51. 6.51. MappingDegree.WithinChartWitnessReduction