Higher Segal spaces via higher excision

Abstract

We show that the various higher Segal conditions of Dyckerhoff and Kapranov can all be characterized in purely categorical terms by higher excision conditions (in the spirit of Goodwillie-Weiss manifold calculus) on the simplex category $\Delta$ and the cyclic category $\Lambda$.

arXiv comment30 pages; v2: change terminology for better consistency with the literature