paper

A pasting theorem for iterated Segal spaces

arXiv:2210.04549 · doi:10.1016/j.jpaa.2024.107712

Abstract

We introduce a novel notion of pasting shapes for iterated Segal spaces which classify particular arrangements of composing cells in d-uple Segal spaces. Using this formalism, we then continue to prove a pasting theorem for these iterated Segal spaces.

43 pages; v2 final journal version with improvements suggested by the referee