Theorems · Definition · category theory

CategoryTheory.Abelian.LeftResolution.chainComplexFunctor

{A : Type u_1} →
  {C : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_2} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_1} A] →
        {ι : CategoryTheory.Functor C A} →
          CategoryTheory.Abelian.LeftResolution ι →
            [ι.Full] →
              [ι.Faithful] →
                [inst_4 : CategoryTheory.Limits.HasZeroMorphisms C] →
                  [CategoryTheory.Abelian A] → CategoryTheory.Functor A (ChainComplex C ℕ)

Given ι : C ⥤ A, Λ : LeftResolution ι, this is a functor A ⥤ ChainComplex C ℕ which sends X : A to a resolution consisting of objects in C.

Defined in

Mathlib.Algebra.Homology.LeftResolution.Basic

Cited by

0 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.FullCategoryTheory.Functor.FaithfulCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Abelian