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在带点稳定双Segal空间中识别CGW范畴

Recognizing CGW categories among pointed stable double Segal spaces

Julia E. Bergner, Brandon T. Shapiro, Inna Zakharevich

arXiv 2607.12327首次发表:更新:

AI 中文总结

研究CGW范畴与带点稳定双Segal空间的关系,表明CGW范畴可视为带点稳定双Segal空间,通过双范畴分类图构造来识别二者,为代数K理论提供了新视角。

AI 中文摘要

本文建立了CGW范畴与带点稳定双Segal空间之间的精确关系,二者均作为代数K理论的一般输入而发展。特别地,我们表明任何CGW范畴都可视为带点稳定双Segal空间,且可通过具有共享同构的双范畴的分类图构造来识别它们。

英文摘要

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.

Comments42 pages

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