Theorems · Definition · category theory

CategoryTheory.Sheaf.cohomologyPresheafFunctor

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (J : CategoryTheory.GrothendieckTopology C) →
      [inst_1 : CategoryTheory.HasSheafify J AddCommGrpCat] →
        [CategoryTheory.HasExt (CategoryTheory.Sheaf J AddCommGrpCat)] →
          ℕ → CategoryTheory.Functor (CategoryTheory.Sheaf J AddCommGrpCat) (CategoryTheory.Functor Cᵒᵖ AddCommGrpCat)

The bifunctor which sends an abelian sheaf F and an object U to the nth Ext-group from the free abelian sheaf generated by the presheaf of sets yoneda.obj U to F.

Defined in

Mathlib.CategoryTheory.Sites.SheafCohomology.Basic

Cited by

0 results in Mathlib

Foundations

Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasSheafifyCategoryTheory.HasExt