Theorems · Definition · category theory

CategoryTheory.constantSheaf

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    (J : CategoryTheory.GrothendieckTopology C) →
      (D : Type u_2) →
        [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
          [CategoryTheory.HasWeakSheafify J D] → CategoryTheory.Functor D (CategoryTheory.Sheaf J D)

The functor which maps an object of D to the constant sheaf at that object, i.e. the sheafification of the constant presheaf.

Defined in

Mathlib.CategoryTheory.Sites.ConstantSheaf

Cited by

30 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.HasWeakSheafify