Theorems · Definition · category theory

HomotopyCategory.singleFunctors

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

The collection of all single functors C ⥤ HomotopyCategory C (ComplexShape.up ℤ) for n : ℤ along with their compatibilities with shifts.

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.SingleFunctors

Cited by

3 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Limits.HasZeroObject