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.