Theorems · Inductive type · category theory
CategoryTheory.SpectralSequence.Hom
{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 : ℤ} →
CategoryTheory.SpectralSequence C c r₀ → CategoryTheory.SpectralSequence C c r₀ → Type (max u_2 u_3)A morphism of spectral sequences is a sequence of morphisms between the pages which commutes with the isomorphisms in homology.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Abelianstatement · cited by 1,753
- ComplexShapestatement · cited by 1,684
- CategoryTheory.SpectralSequencestatement · cited by 22
Cited by17
Results whose statement or proof uses this declaration.
- CategoryTheory.SpectralSequence.Hom.homstatement and proof · cited by 10
- CategoryTheory.SpectralSequence.Hom.extstatement and proof · cited by 2
- CategoryTheory.SpectralSequence.comp_homstatement and proof · cited by 1
- CategoryTheory.SpectralSequence.Hom.commstatement and proof · cited by 1
- CategoryTheory.SpectralSequence.Hom.mk.injstatement · cited by 1
- CategoryTheory.SpectralSequence.Hom.mk.noConfusionstatement · cited by 1
- CategoryTheory.SpectralSequence.comp_hom_assocstatement and proof · cited by 0
- CategoryTheory.SpectralSequence.Hom.casesOnstatement and proof · cited by 0
- CategoryTheory.SpectralSequence.Hom.comm_assocstatement and proof · cited by 0
- CategoryTheory.SpectralSequence.Hom.ctorIdxstatement and proof · cited by 0
- CategoryTheory.SpectralSequence.Hom.ext_iffstatement and proof · cited by 0
- CategoryTheory.SpectralSequence.Hom.mk.congr_simpstatement · cited by 0