Dold-Kan Type Theorems for n-Types of Simplicitial Commutative Algebras

A functor from simplicial algebras to crossed \( n \)-cubes is shown to be an embedding on a reflexive subcategory of the category of simplicial algebras that contains representatives for all \( n \) types.

Dold-Kan Type Theorems for n-Types of Simplicitial Commutative Algebras

A functor from simplicial algebras to crossed \( n \)-cubes is shown to be an embedding on a reflexive subcategory of the category of simplicial algebras that contains representatives for all \( n \) types.