Theorems · Inductive type · category theory

CategoryTheory.Functor.IsDense

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

A functor F : C ⥤ D is dense if any Y : D is a canonical colimit relatively to F.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Dense

Cited by

19 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category