Theorems · Definition · category theory

CategoryTheory.sheafificationAdjunction

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    (J : CategoryTheory.GrothendieckTopology C) →
      (A : Type u₂) →
        [inst_1 : CategoryTheory.Category.{v₂, u₂} A] →
          [inst_2 : CategoryTheory.HasWeakSheafify J A] →
            CategoryTheory.presheafToSheaf J A ⊣ CategoryTheory.sheafToPresheaf J A

The sheafification-inclusion adjunction.

Defined in

Mathlib.CategoryTheory.Sites.Sheafification

Cited by

30 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.HasWeakSheafify