Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.MayerVietorisSquare.fromBiprod

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      [inst_1 : CategoryTheory.HasWeakSheafify J (Type v)] →
        [inst_2 : CategoryTheory.HasSheafify J AddCommGrpCat] →
          [inst_3 : CategoryTheory.HasExt (CategoryTheory.Sheaf J AddCommGrpCat)] →
            (S : J.MayerVietorisSquare) →
              (F : CategoryTheory.Sheaf J AddCommGrpCat) → (n : ℕ) → F.H' n S.X₂ ⊞ F.H' n S.X₃ ⟶ F.H' n S.X₁

The difference of two restriction maps in sheaf cohomology.

Defined in

Mathlib.CategoryTheory.Sites.SheafCohomology.MayerVietoris

Cited by

6 results in Mathlib

Foundations

Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasWeakSheafifyCategoryTheory.HasSheafifyCategoryTheory.HasExt