Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.yoneda

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (J : CategoryTheory.GrothendieckTopology C) →
      [J.Subcanonical] → CategoryTheory.Functor C (CategoryTheory.Sheaf J (Type v))

If J is subcanonical, we obtain a "Yoneda" functor from the defining site into the sheaf category.

Defined in

Mathlib.CategoryTheory.Sites.Canonical

Cited by

37 results in Mathlib

Foundations

Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.GrothendieckTopology.Subcanonical