Combinatorial examples and applications of 2-Segal sets
Algebraic Topology
2024-11-28 v1 Combinatorics
Category Theory
Abstract
We give an introduction to the theory of 2-Segal sets, and two of the main applications of them: Hall algebras and a discrete version of Waldhausen's -construction. We present several combinatorial examples and how these constructions can be applied to them.
Cite
@article{arxiv.2411.18544,
title = {Combinatorial examples and applications of 2-Segal sets},
author = {Julia E. Bergner},
journal= {arXiv preprint arXiv:2411.18544},
year = {2024}
}
Comments
18 pages. Expanded version of my talk at the ECOGyT conference in August 2024. Comments welcome