OAI/Algebra/Finitistic/Localization/NativeBoundedDerived.lean

GitHub source file

2 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.LittleFinitistic.BimoduleTotal.inducedBoundedProjective line 13

    Source documentation

    Build the complete derived-tensor model from the actual native rectification, with no tensor-comparison assumption.

    def inducedBoundedProjective
        {A J R : Type} [Fintype A] [Fintype J] [Fintype R]
        (s : Quadratic k B (A := A) (J := J) (R := R))
    …
  2. def OAI.LittleFinitistic.BimoduleTotal.BoundedProjective.nativeEvaluation line 36

    Source documentation

    The exact native module-valued degree-zero evaluation, using the module's original compatible k action.

    def nativeEvaluation (N : Type u) [AddCommGroup N] [Module k N] [Module B N] [IsScalarTower k B N] :
        data.derived.obj (DerivedCategory.Q.obj (singleInput B (ModuleCat.of B N))) ≅
          DerivedCategory.Q.obj (((BimoduleBalancedTensor.functor k B N).mapHomologicalComplex (.up ℤ)).obj P) :=
    …

    Mentions: OAI.LittleFinitistic.BimoduleTotal.singleInput, OAI.LittleFinitistic.BimoduleBalancedTensor.functor