Abstract
In this chapter, we study the 2-Segal condition in the discrete context: that of semi-simplicial sets. A semi-simplicial set Y will be called 2-Segal, if 
, the discrete semi-simplicial space associated to Y is 2-Segal. Concretely, this means that for any n ≥ 2 and any triangulation \({\mathcal T}\) of the (n + 1)-gon P
n, the map \( f_{\mathcal T}: Y_n\longrightarrow Y_{\mathcal T} \) is a bijection of sets. More generally, let 
be any category with finite projective limits.
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Dyckerhoff, T., Kapranov, M. (2019). Discrete 2-Segal Spaces. In: Higher Segal Spaces. Lecture Notes in Mathematics, vol 2244. Springer, Cham. https://doi.org/10.1007/978-3-030-27124-4_3
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DOI: https://doi.org/10.1007/978-3-030-27124-4_3
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