Higher Segal spaces via higher excision

Tashi Walde

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 Δ and the cyclic category Λ.

Keywords: Simplicial objects, cyclic objects, higher Segal objects, excision, manifold calculus

2020 MSC: 18Nxx, 18N50, 18F50

Theory and Applications of Categories, Vol. 35, 2020, No. 28, pp 1048-1086.

Published 2020-07-07.


TAC Home