Theorems · Definition · category theory

HomologicalComplex.homotopyEquivalences

{ι : Type u_1} →
  (V : Type u) →
    [inst : CategoryTheory.Category.{v, u} V] →
      [inst_1 : CategoryTheory.Preadditive V] →
        (c : ComplexShape ι) → CategoryTheory.MorphismProperty (HomologicalComplex V c)

The morphism property on HomologicalComplex V c given by homotopy equivalences.

Defined in

Mathlib.Algebra.Homology.Homotopy

Cited by

22 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive