We exhibit the simplex category and Segal’s category as –categorical localizations of the dendroidal categories and introduced by Moerdijk and Weiss. As an application we obtain an equivalence of –categories between invertible –operads and the –Segal spaces of Dyckerhoff and Kapranov. Finally, we describe a cyclic version of the dendroidal category and explain how it –localizes to Connes’ cyclic category .
"$2$–Segal spaces as invertible infinity-operads." Algebr. Geom. Topol. 21 (1) 211 - 246, 2021. https://doi.org/10.2140/agt.2021.21.211