Ann. K-Theory 6 (1), 97-136, (2021) DOI: 10.2140/akt.2021.6.97
Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova, Martina Rovelli, Claudia I. Scheimbauer
KEYWORDS: 2-Segal spaces, Waldhausen S•-construction, double Segal spaces, model categories, 18D05, 19D10, 55U40, 18G30, 18G55, 55U10, 55U35
In previous work, we developed a generalized Waldhausen -construction whose input is an augmented stable double Segal space and whose output is a -Segal space. Here, we prove that this construction recovers the previously known -constructions for exact categories and for stable and exact -categories, as well as the relative -construction for exact functors.