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