Theorems · Definition · category theory

CategoryTheory.Precoverage.comap

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {D : Type u_1} →
      [inst_1 : CategoryTheory.Category.{v_1, u_1} D] →
        CategoryTheory.Functor C D → CategoryTheory.Precoverage D → CategoryTheory.Precoverage C

If J is a precoverage on D, we obtain a precoverage on C by declaring a presieve on D to be covering if its image under F is.

Defined in

Mathlib.CategoryTheory.Sites.Precoverage

Cited by

27 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category