Theorems · Definition · category theory

CategoryTheory.GradedObject.single

{J : Type u_1} →
  {C : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_2} C] →
      [CategoryTheory.Limits.HasInitial C] →
        [DecidableEq J] → J → CategoryTheory.Functor C (CategoryTheory.GradedObject J C)

The functor which sends X : C to the graded object which is X in degree j and the initial object in other degrees.

Defined in

Mathlib.CategoryTheory.GradedObject.Single

Cited by

22 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasInitialDecidableEq