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Theorems · Definition · category theory

CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX

{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] →
            CategoryTheory.Abelian.SpectralObject C ι →
              {c : ℤ → ComplexShape κ} →
                {r₀ : ℤ} →
                  CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore ι c r₀ →
                    (r : ℤ) →
                      κ → autoParam (r₀ ≤ r) CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX._auto_1 → C

The object on position pq on the rth page of the spectral sequence.

Defined in
Mathlib.Algebra.Homology.SpectralObject.SpectralSequence
Cited by
19 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.AbelianPreorder

Around this declaration

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

CategoryTheory.Abelian.SpectralObject.SpectralSequence.page · cited by 29SpectralSequence.pageCategoryTheory.Abelian.SpectralObject.SpectralSequence.pageXIso · cited by 13SpectralSequence.pageXIsoCategoryTheory.Abelian.SpectralObject.SpectralSequence.pageD · cited by 6SpectralSequence.pageDCategoryTheory.Abelian.SpectralObject.SpectralSequence.pageD_eq · cited by 6SpectralSequence.pageD_eqCategoryTheory.Abelian.SpectralObject.SpectralSequence.pageD_pageD · cited by 1SpectralSequence.pageD_pa…CategoryTheory.Abelian.SpectralObject.SpectralSequence.page_X · cited by 0SpectralSequence.page_XCategoryTheory.Abelian.SpectralObject.SpectralSequence.page_d · cited by 0SpectralSequence.page_dCategoryTheory.Abelian.SpectralObject.SpectralSequence.HomologyData.ccSc_X₁ · cited by 0HomologyData.ccSc_X₁CategoryTheory.Abelian.SpectralObject.SpectralSequence.HomologyData.ccSc_X₂ · cited by 0HomologyData.ccSc_X₂CategoryTheory.Abelian.SpectralObject.SpectralSequence.HomologyData.ccSc_exact · cited by 0HomologyData.ccSc_exactCategoryTheory.Abelian.SpectralObject.SpectralSequence.HomologyData.ccSc_g · cited by 0HomologyData.ccSc_gCategoryTheory.Abelian.SpectralObject.SpectralSequence.HomologyData.cc_w · cited by 0HomologyData.cc_wCategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX.congr_simp · cited by 0pageX.congr_simpCategoryTheory.Abelian.SpectralObject.SpectralSequence.pageXIso.congr_simp · cited by 0pageXIso.congr_simpCategoryTheory.Abelian.SpectralObject.SpectralSequence.HomologyData.kfSc_X₂ · cited by 0HomologyData.kfSc_X₂CategoryTheory.Category · cited by 32673CategoryTheory.CategoryPreorder · cited by 7952PreorderCategoryTheory.Abelian · cited by 1753CategoryTheory.AbelianComplexShape · cited by 1684ComplexShapeCategoryTheory.homOfLE · cited by 554CategoryTheory.homOfLECategoryTheory.Abelian.SpectralObject · cited by 453Abelian.SpectralObjectCategoryTheory.Abelian.SpectralObject.E · cited by 169SpectralObject.ECategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore · cited by 88SpectralObject.SpectralSe…CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore.deg · cited by 65SpectralSequenceDataCore.…CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore.le₁₂ · cited by 4SpectralSequenceDataCore.…SpectralSequence.pageXCITED BYCITES

Cites10

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Cited by22

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