Waldhausen's $S_\bullet$-construction
Algebraic Topology
2024-12-24 v1 Category Theory
K-Theory and Homology
Abstract
This note is an expository contribution for a proceedings volume of the workshop "Higher Segal Spaces and their Applications to Algebraic K-theory, Hall Algebras, and Combinatorics". We survey various versions of Waldhausen's S-construction and the role they play in defining K-theory, and we discuss their 2-Segality properties.
Cite
@article{arxiv.2412.17398,
title = {Waldhausen's $S_\bullet$-construction},
author = {Viktoriya Ozornova and Martina Rovelli},
journal= {arXiv preprint arXiv:2412.17398},
year = {2024}
}