2024/12/23 by Martina Rovelli, Rovelli, Martina
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topology and Set Theory #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2412.17400
This note is a contribution for a proceedings volume of the workshop "Higher Segal Spaces and their Applications to Algebraic K-Theory, Hall Algebras, and Combinatorics". The content is a streamlined exposition based on a talk about a result by Bergner-Osorno-Ozornova-Rovelli-Scheimbauer from WITII. We discuss how a generalized version of Waldhausen's S-construction describes a correspondence between 2-Segal spaces and certain double Segal spaces, which satisfy further conditions of stability and augmentation.