Theorems · Definition · category theory

AlgebraicTopology.AlternatingCofaceMapComplex.objD

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [CategoryTheory.Preadditive C] →
      (X : CategoryTheory.CosimplicialObject C) → (n : ℕ) → X.obj { len := n } ⟶ X.obj { len := n + 1 }

The differential on the alternating coface map complex is the alternate sum of the coface maps

Defined in

Mathlib.AlgebraicTopology.AlternatingFaceMapComplex

Cited by

3 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive