Theorems · Definition · category theory

CategoryTheory.SimplicialObject.Homotopy.ToChainHomotopy.hom

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [CategoryTheory.Preadditive C] →
      {X Y : CategoryTheory.SimplicialObject C} →
        {f g : X ⟶ Y} →
          CategoryTheory.SimplicialObject.Homotopy f g →
            (p q : ℕ) → X.obj (Opposite.op { len := p }) ⟶ Y.obj (Opposite.op { len := q })

The family of components of the induced chain homotopy

Defined in

Mathlib.AlgebraicTopology.SimplicialObject.ChainHomotopy

Cited by

2 results in Mathlib

Foundations

Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive