Bergner, Julia EOsorno, Angelica MOzornova, ViktoriyaRovelli, MartinaScheimbauer, Claudia I2024-03-152379-1683http://hdl.handle.net/1885/316009In previous work, we developed a generalizedWaldhausen S-center dot-construction whose input is an augmented stable double Segal space and whose output is a 2-Segal space. Here, we prove that this construction recovers the previously known S-center dot-constructions for exact categories and for stable and exact (infinity,1)-categories, as well as the relative S-center dot-construction for exact functors.application/pdfen-AU© 2021 Mathematical Sciences Publishers2-Segal spacesWaldhausen S•-constructiondouble Segal spacesmodel categories202110.2140/akt.2021.6.972022-11-13