Theorems · Definition · category theory

CategoryTheory.Sheaf.image

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      {F F' : CategoryTheory.Sheaf J (Type w)} → (F ⟶ F') → CategoryTheory.Sheaf J (Type w)

The image sheaf of a morphism between sheaves, defined to be the sheafification of image_presheaf.

Defined in

Mathlib.CategoryTheory.Sites.Subsheaf

Cited by

6 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category