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arXiv · 2506.13732

Segal K-theory factors through Waldhausen categories

Maxine E. Calle·David Chan
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Abstract

We show that Segal's K-theory of symmetric monoidal categorizes can be factored through Waldhausen categories. In particular, given a symmetric monoidal category $C$, we produce a Waldhausen category $\Gamma(C)$ whose K-theory is weakly equivalent to the Segal K-theory of $C$. As a consequence, we show that every connective spectrum may be obtained via Waldhausen K-theory.

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Maxine E. Calle, David Chan. 2025-06-16. Segal K-theory factors through Waldhausen categories. https://arxiv.org/abs/2506.13732

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