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Theorems · Definition · category theory

DerivedCategory.Plus.singleFunctor

(C : Type u_1) →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Abelian C] →
      [inst_2 : HasDerivedCategory C] → ℤ → CategoryTheory.Functor C (DerivedCategory.Plus C)

The single functor C ⥤ DerivedCategory.Plus C which sends X : C to the single cochain complex with X sitting in degree n : ℤ.

Defined in
Mathlib.Algebra.Homology.DerivedCategory.Plus
Cited by
0 results in Mathlib
Foundations
Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.AbelianHasDerivedCategory
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DerivedCategory.Plus.singleFunctorιIso · cited by 0Plus.singleFunctorιIsoCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Abelian · cited by 1753CategoryTheory.AbelianHasDerivedCategory · cited by 190HasDerivedCategoryDerivedCategory · cited by 165DerivedCategoryCategoryTheory.SingleFunctors.functor · cited by 64SingleFunctors.functorDerivedCategory.TStructure.t · cited by 13TStructure.tCategoryTheory.Triangulated.TStructure.plus · cited by 7TStructure.plusDerivedCategory.Plus · cited by 7DerivedCategory.PlusDerivedCategory.Plus.singleFunctors · cited by 0Plus.singleFunctorsPlus.singleFunctorCITED BYCITES

Cites10

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Cited by1

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