The $Γ$-structure of an additive track category

Details The $Γ$-structure of an additive track category The $Γ$-structure of an additive track category

2009-12-23

arxiv.org/abs/0912.4673v1

Mathematics

Algebraic Topology

Scientific paper

We prove that an additive track category with strong coproducts is equivalent
to the category of pseudomodels for the algebraic theory of $\nil_2$ groups.
This generalizes the classical statement that the category of models for the
algebraic theory of abelian groups is equivalent to the category of abelian
groups. Dual statements are also considered.

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