Theorems · Definition · algebraic topology

SSet.normalizedChainComplex

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [CategoryTheory.Limits.HasCoproducts C] → [inst_2 : CategoryTheory.Preadditive C] → SSet → C → ChainComplex C ℕ

The normalized chain complex of a simplicial set X with coefficients in R. In degree n, it consists of a coproduct of copies of R indexed by the nondegenerate n-simplices of X.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.Homology.Nondegenerate

Cited by

29 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasCoproductsCategoryTheory.Preadditive