Theorems · Definition · category theory

CategoryTheory.ShortComplex.map

{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] →
            CategoryTheory.ShortComplex C →
              (F : CategoryTheory.Functor C D) → [F.PreservesZeroMorphisms] → CategoryTheory.ShortComplex D

The short complex in D obtained by applying a functor F : C ⥤ D to a short complex in C, assuming that F preserves zero morphisms.

Defined in

Mathlib.Algebra.Homology.ShortComplex.Basic

Cited by

188 results in Mathlib

Foundations

Depth 10 from the axioms, rests on 57 definitions · uses no axioms

Assumes

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