Theorems · Definition · category theory

HomotopyCategory.homologyFunctor

{ι : Type u_2} →
  (V : Type u) →
    [inst : CategoryTheory.Category.{v, u} V] →
      [inst_1 : CategoryTheory.Preadditive V] →
        (c : ComplexShape ι) →
          [CategoryTheory.CategoryWithHomology V] → ι → CategoryTheory.Functor (HomotopyCategory V c) V

The i-th homology, as a functor from the homotopy category.

Defined in

Mathlib.Algebra.Homology.HomotopyCategory

Cited by

36 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.CategoryWithHomology