Theorems · Definition · algebraic topology

SSet.homologyFunctor

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

The simplicial homology functor in degree n with coefficients in R : C.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.Homology.Basic

Cited by

2 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasCoproductsCategoryTheory.PreadditiveCategoryTheory.CategoryWithHomology