Theorems · Definition · category theory

HomologicalComplex.dgoToHomologicalComplex

{β : Type u_1} →
  [inst : AddCommGroup β] →
    (b : β) →
      (V : Type u_2) →
        [inst_1 : CategoryTheory.Category.{v_1, u_2} V] →
          [inst_2 : CategoryTheory.Limits.HasZeroMorphisms V] →
            CategoryTheory.Functor (CategoryTheory.DifferentialObject ℤ (CategoryTheory.GradedObjectWithShift b V))
              (HomologicalComplex V (ComplexShape.up' b))

The functor from differential graded objects to homological complexes.

Defined in

Mathlib.Algebra.Homology.DifferentialObject

Cited by

10 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupCategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms