Higher Segal spaces via higher excision
Algebraic Topology
2020-07-17 v2
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 and the cyclic category .
Cite
@article{arxiv.1906.10619,
title = {Higher Segal spaces via higher excision},
author = {Tashi Walde},
journal= {arXiv preprint arXiv:1906.10619},
year = {2020}
}
Comments
30 pages; v2: change terminology for better consistency with the literature