Theorems · Definition · category theory

CategoryTheory.Functor.mapCochainComplexPlus

{C : Type u_1} →
  {D : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
        (F : CategoryTheory.Functor C D) →
          [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] →
            [inst_3 : CategoryTheory.Limits.HasZeroMorphisms D] →
              [F.PreservesZeroMorphisms] → CategoryTheory.Functor (CochainComplex.Plus C) (CochainComplex.Plus D)

The functor on categories of bounded below cochain complexes that is induced by a functor (which preserves zero morphisms).

Defined in

Mathlib.Algebra.Homology.CochainComplexPlus

Cited by

11 results in Mathlib

Foundations

Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Functor.PreservesZeroMorphisms