Waldhausen's $S_\bullet$-construction

Published 23 Dec 2024 in math.AT, math.CT, and math.KT | (2412.17398v1)

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.

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