Recognizing CGW categories among pointed stable double Segal spaces
Algebraic Topology
2026-07-14 v1 Category Theory
K-Theory and Homology
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.
Cite
@article{arxiv.2607.12327,
title = {Recognizing CGW categories among pointed stable double Segal spaces},
author = {Julia E. Bergner and Brandon T. Shapiro and Inna Zakharevich},
journal= {arXiv preprint arXiv:2607.12327},
year = {2026}
}
Comments
42 pages