Partial groups as symmetric simplicial sets. (arXiv:2310.01513v1 [math.GR]) http://arxiv.org/abs/2310.01513
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 in the category of partial groups. We also introduce the notion of a partial groupoid, which encompasses both groupoids and partial groups.
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