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arXiv · 0912.4673

The $Γ$-structure of an additive track category

Gérald Gaudens
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Abstract

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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Gérald Gaudens. 2009-12-23. The $Γ$-structure of an additive track category. https://arxiv.org/abs/0912.4673

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