Theorems · Definition · category theory

CategoryTheory.CatCenter.localization

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        CategoryTheory.CatCenter C →
          (L : CategoryTheory.Functor C D) →
            (W : CategoryTheory.MorphismProperty C) → [L.IsLocalization W] → CategoryTheory.CatCenter D

Given r : CatCenter C and L : C ⥤ D a localization functor with respect to W : MorphismProperty D, this is the induced element in CatCenter D obtained by localization.

Defined in

Mathlib.CategoryTheory.Center.Localization

Cited by

6 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsLocalization