Theorems · Definition · category theory

CochainComplex.singleFunctors

(C : Type u) →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Preadditive C] →
      [CategoryTheory.Limits.HasZeroObject C] → CategoryTheory.SingleFunctors C (CochainComplex C ℤ) ℤ

The collection of all single functors C ⥤ CochainComplex C ℤ along with their compatibilities with shifts. (This definition has purposely no simps attribute, as the generated lemmas would not be very useful.)

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.SingleFunctors

Cited by

11 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Limits.HasZeroObject