Theorems · Definition · category theory

HomologicalComplex.homologyFunctor

(C : Type u_1) →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {ι : Type u_2} →
        (c : ComplexShape ι) →
          ι → [CategoryTheory.CategoryWithHomology C] → CategoryTheory.Functor (HomologicalComplex C c) C

The ith homology functor HomologicalComplex C c ⥤ C.

Defined in

Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex

Cited by

70 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.CategoryWithHomology