Combinatorial examples and applications of 2-Segal sets

Published 27 Nov 2024 in math.AT, math.CO, and math.CT | (2411.18544v1)

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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Julia E. Bergner

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