Combinatorial examples and applications of 2-Segal sets

Julia E. Bergner

Combinatorial examples and applications of 2-Segal sets

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arxiv 2411.18544 v1 pith:ITAMRGCM submitted 2024-11-27 math.AT math.COmath.CT

Julia E. Bergner This is my paper

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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 $S_\bullet$-construction. We present several combinatorial examples and how these constructions can be applied to them.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

2-Segal sets and pseudomonoids in the bicategory of spans
math.CT 2025-05 conditional novelty 4.0 of 10

2-Segal sets are shown to correspond one-to-one, up to isomorphism, with pseudomonoids in the bicategory of spans, using a graphical proof that avoids higher category theory.

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