Theorems · Definition · category theory

CategoryTheory.sheafify

{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 Cᵒᵖ D → CategoryTheory.Functor Cᵒᵖ D

The sheafification of a presheaf P.

Defined in

Mathlib.CategoryTheory.Sites.Sheafification

Cited by

44 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.HasWeakSheafify