nLab sAb

Idea

The category $sAb$ of simplicial abelian groups. Equivalently that of simplicial objects in Ab, and also equivalently that of abelian group objects in sSet.

Properties

• By the Dold-Kan correspondence, $sAb$ is equivalent to the category of chain complexes $Ch_\bullet(Ab)$ (of abelian groups and in non-negative degree).

Related concepts

• sGrp

• KanCplx

category: category