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arXiv · 2607.12327

Recognizing CGW categories among pointed stable double Segal spaces

Julia E. Bergner·Brandon T. Shapiro·Inna Zakharevich
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Abstract

In this paper, we establish a precise relationship between CGW categories and pointed stable double Segal spaces, both of which were developed as general input for algebraic K-theory. In particular, we show that any CGW category can be regarded as a pointed stable double Segal space, and they can be identified using a classifying diagram construction for double categories with shared isomorphisms.

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BibTeXRIS

Julia E. Bergner, Brandon T. Shapiro, Inna Zakharevich. 2026-07-14. Recognizing CGW categories among pointed stable double Segal spaces. https://arxiv.org/abs/2607.12327

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