OAI/GroupTheory/PolycyclicRecognition/Finiteness/ResolutionHomologyNaturality.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

A coefficient-natural comparison with a projective resolution

The comparison uses the bar resolution and a fixed homotopy equivalence of projective resolutions, so changing coefficients commutes with it.

  1. def OAI.PolycyclicRecognition.coefficientTensorChainMap line 20
  2. theorem OAI.PolycyclicRecognition.inhomogeneousChainsIso_coefficient line 25
  3. def OAI.PolycyclicRecognition.coefficientNaturalHomologyIso line 47
  4. theorem OAI.PolycyclicRecognition.coefficientNaturalHomologyIso_naturality line 56