Theorems · Definition · category theory

HomotopyCategory

{ι : Type u_2} →
  (V : Type u) →
    [inst : CategoryTheory.Category.{v, u} V] →
      [CategoryTheory.Preadditive V] → ComplexShape ι → Type (max (max u u_2) v)

HomotopyCategory V c is the category of chain complexes of shape c in V, with chain maps identified when they are homotopic.

Defined in

Mathlib.Algebra.Homology.HomotopyCategory

Cited by

132 results in Mathlib

Foundations

Depth 20 from the axioms, rests on 202 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive