Theorems · Definition · category theory

CategoryTheory.sheafification

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    (J : CategoryTheory.GrothendieckTopology C) →
      (D : Type u_1) →
        [inst_1 : CategoryTheory.Category.{v_1, u_1} D] →
          [CategoryTheory.HasWeakSheafify J D] →
            CategoryTheory.Functor (CategoryTheory.Functor Cᵒᵖ D) (CategoryTheory.Functor Cᵒᵖ D)

The sheafification of a presheaf P, as a functor.

Defined in

Mathlib.CategoryTheory.Sites.Sheafification

Cited by

3 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.HasWeakSheafify