Theorems · Definition · category theory

CategoryTheory.Abelian.SpectralObject.spectralSequence

{C : Type u_1} →
  {ι : Type u_2} →
    {κ : Type u_3} →
      [inst : CategoryTheory.Category.{v_1, u_1} C] →
        [inst_1 : CategoryTheory.Abelian C] →
          [inst_2 : Preorder ι] →
            (X : CategoryTheory.Abelian.SpectralObject C ι) →
              {c : ℤ → ComplexShape κ} →
                {r₀ : ℤ} →
                  (data : CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore ι c r₀) →
                    [X.HasSpectralSequence data] → CategoryTheory.SpectralSequence C c r₀

The spectral sequence attached to a spectral object in an abelian category.

Defined in

Mathlib.Algebra.Homology.SpectralObject.SpectralSequence

Cited by

24 results in Mathlib

Foundations

Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianPreorderCategoryTheory.Abelian.SpectralObject.HasSpectralSequence