Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.W

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    CategoryTheory.GrothendieckTopology C →
      {A : Type u_2} →
        [inst_1 : CategoryTheory.Category.{v_2, u_2} A] → CategoryTheory.MorphismProperty (CategoryTheory.Functor Cᵒᵖ A)

The class of morphisms of presheaves which become isomorphisms after sheafification. (See GrothendieckTopology.W_iff.)

Defined in

Mathlib.CategoryTheory.Sites.Localization

Cited by

35 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category