Theorems · Definition · category theory

HomotopicalAlgebra.RelativeCellComplex.Cells.i

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : Type w'} →
      [inst_1 : LinearOrder J] →
        [inst_2 : OrderBot J] →
          [inst_3 : SuccOrder J] →
            [inst_4 : WellFoundedLT J] →
              {α : J → Type t} →
                {A B : (j : J) → α j → C} →
                  {basicCell : (j : J) → (i : α j) → A j i ⟶ B j i} →
                    {X Y : C} →
                      {f : X ⟶ Y} → {c : HomotopicalAlgebra.RelativeCellComplex basicCell f} → (γ : c.Cells) → α γ.j

Given a cell γ in a relative cell complex, this is the corresponding index in the family of morphisms basicCell γ.j.

Defined in

Mathlib.AlgebraicTopology.RelativeCellComplex.Basic

Cited by

2 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext

Assumes

CategoryTheory.CategoryLinearOrderOrderBotSuccOrderWellFoundedLT