Theorems · Definition · algebraic topology

SSet.isColimitCofanNormalizedChainComplex

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasCoproducts C] →
      [inst_2 : CategoryTheory.Preadditive C] →
        (X : SSet) → (R : C) → (n : ℕ) → CategoryTheory.Limits.IsColimit (X.cofanNormalizedChainComplex R n)

(X.normalizedChainComplex R).X n identifies to the coproduct of copies of R indexed by the nondegenerate n-simplices of the simplicial set X.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.Homology.Nondegenerate

Cited by

1 results in Mathlib

Foundations

Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasCoproductsCategoryTheory.Preadditive