Theorems · Definition · category theory
CategoryTheory.SpectralSequence.pageFunctor
(C : Type u_1) →
[inst : CategoryTheory.Category.{u_3, u_1} C] →
[inst_1 : CategoryTheory.Abelian C] →
{κ : Type u_2} →
(c : ℤ → ComplexShape κ) →
(r₀ r : ℤ) →
autoParam (r₀ ≤ r) CategoryTheory.SpectralSequence.pageFunctor._auto_1 →
CategoryTheory.Functor (CategoryTheory.SpectralSequence C c r₀) (HomologicalComplex C (c r))The functor SpectralSequence C c r₀ ⥤ HomologicalComplex C (c r) which
sends a spectral sequence to its rth page.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- HomologicalComplexstatement · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- CategoryTheory.SpectralSequence.pageproof · cited by 42
- CategoryTheory.SpectralSequencestatement and proof · cited by 22
- CategoryTheory.SpectralSequence.Hom.homproof · cited by 10
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.SpectralSequence.pageHomologyNatIsostatement · cited by 2
- CategoryTheory.SpectralSequence.pageFunctor_mapstatement and proof · cited by 0
- CategoryTheory.SpectralSequence.pageFunctor_objstatement and proof · cited by 0
- CategoryTheory.SpectralSequence.pageHomologyNatIso_hom_appstatement · cited by 0
- CategoryTheory.SpectralSequence.pageHomologyNatIso_inv_appstatement · cited by 0
- CategoryTheory.SpectralSequence.pageFunctor.congr_simpstatement and proof · cited by 0