Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.pseudofunctorOver

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    CategoryTheory.GrothendieckTopology C →
      (A : Type u') →
        [CategoryTheory.Category.{v', u'} A] →
          CategoryTheory.Pseudofunctor (CategoryTheory.LocallyDiscrete Cᵒᵖ) CategoryTheory.Cat

Given a Grothendieck topology J on a category C and a category A, this is the pseudofunctor which sends X : C to the categories of sheaves on Over X with values in A.

Defined in

Mathlib.CategoryTheory.Sites.PseudofunctorSheafOver

Cited by

11 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category