Nerves and cones of free loop-free {\omega}-categories
Algebraic Topology
2023-06-07 v2 Category Theory
Abstract
We show that the complicial nerve construction is homotopically compatible with two flavors of cone constructions when starting with an -category that is suitably free and loop-free. An instance of the result recovers the fact that the standard -simplex is equivalent to the complicial nerve of the -oriental.
Cite
@article{arxiv.2103.01066,
title = {Nerves and cones of free loop-free {\omega}-categories},
author = {Andrea Gagna and Viktoriya Ozornova and Martina Rovelli},
journal= {arXiv preprint arXiv:2103.01066},
year = {2023}
}
Comments
v2: restructured the paper improving exposition, included details on the second type of cone