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math.CT2023
Operadic categories and 2-Segal sets
Philip Hackney
If is a 2-Segal set, then the edgewise subdivision of admits a factorization system coming from upper and lower décalage. Using the correspondence between 2-Segal sets and…
math.GR2023★ 1 cited
Partial groups as symmetric simplicial sets
Philip Hackney, Justin Lynd
We give a new characterization of partial groups as a subcategory of symmetric (simplicial) sets. This subcategory has an explicit reflection, which permits one to compute colimits…