Commit 2021-05-15 08:16 5da114c4

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feat(algebraic_topology): the Moore complex of a simplicial object (#6308)

Moore complex

We construct the normalized Moore complex, as a functor simplicial_object C ⥤ chain_complex C ℕ, for any abelian category C. The n-th object is intersection of the kernels of X.δ i : X.obj n ⟶ X.obj (n-1), for i = 1, ..., n. The differentials are induced from X.δ 0, which maps each of these intersections of kernels to the next. This functor is one direction of the Dold-Kan equivalence, which we're still working towards.

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