Theorems · Definition · category theory

CochainComplex.mappingCone.triangleRotateShortComplex

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v, u_1} C] →
    [inst_1 : CategoryTheory.Preadditive C] →
      [CategoryTheory.Limits.HasBinaryBiproducts C] →
        {K L : CochainComplex C ℤ} → (K ⟶ L) → CategoryTheory.ShortComplex (CochainComplex C ℤ)

Given a morphism of cochain complexes φ, this is the short complex given by (triangle φ).rotate.

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.DegreewiseSplit

Cited by

9 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Limits.HasBinaryBiproducts