Waldhausen's $S_\bullet$-construction

Fuente: arXiv
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Main Authors: Ozornova, Viktoriya, Rovelli, Martina
Format: Preprint
Published: 2024
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author Ozornova, Viktoriya
Rovelli, Martina
author_facet Ozornova, Viktoriya
Rovelli, Martina
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_17398
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Waldhausen's $S_\bullet$-construction
Ozornova, Viktoriya
Rovelli, Martina
Algebraic Topology
Category Theory
K-Theory and Homology
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.
title Waldhausen's $S_\bullet$-construction
topic Algebraic Topology
Category Theory
K-Theory and Homology
url https://arxiv.org/abs/2412.17398