Theorems · Definition · category theory

HomotopyCategory.quotient

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

The quotient functor from complexes to the homotopy category.

Defined in

Mathlib.Algebra.Homology.HomotopyCategory

Cited by

109 results in Mathlib

Foundations

Depth 25 from the axioms, rests on 221 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive