Theorems · Definition · category theory

CategoryTheory.Functor.mapShortComplex

{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] →
        [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] →
          [inst_3 : CategoryTheory.Limits.HasZeroMorphisms D] →
            (F : CategoryTheory.Functor C D) →
              [F.PreservesZeroMorphisms] →
                CategoryTheory.Functor (CategoryTheory.ShortComplex C) (CategoryTheory.ShortComplex D)

The functor ShortComplex C ⥤ ShortComplex D induced by a functor C ⥤ D which preserves zero morphisms.

Defined in

Mathlib.Algebra.Homology.ShortComplex.Basic

Cited by

65 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Quot.sound

Assumes

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