Theorems · Definition · category theory

CategoryTheory.Functor.restrictedTopology

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₁} C] →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        CategoryTheory.Functor C D → CategoryTheory.GrothendieckTopology D → CategoryTheory.GrothendieckTopology C

The coarsest topology containing all sieves whose image under F generates a covering sieve of K.

Defined in

Mathlib.CategoryTheory.Sites.InducedTopology

Cited by

14 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category