Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.Point.presheafFiber

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      J.Point →
        {A : Type u'} →
          [inst_1 : CategoryTheory.Category.{v', u'} A] →
            [CategoryTheory.Limits.HasColimitsOfSize.{w, w, v', u'} A] →
              CategoryTheory.Functor (CategoryTheory.Functor Cᵒᵖ A) A

The fiber functor on categories of presheaves that is given by a point of a site.

Defined in

Mathlib.CategoryTheory.Sites.Point.Basic

Cited by

89 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasColimitsOfSize