Orientals as free weak $\omega$-categories
Category Theory
2023-02-17 v2
Abstract
The orientals are the free strict -categories on the simplices introduced by Street. The aim of this paper is to show that they are also the free weak -categories on the same generating data. More precisely, we exhibit the Street nerves of the orientals as fibrant replacements of the simplices in Verity's model structure for complicial sets.
Cite
@article{arxiv.2102.09736,
title = {Orientals as free weak $\omega$-categories},
author = {Yuki Maehara},
journal= {arXiv preprint arXiv:2102.09736},
year = {2023}
}
Comments
v2: 24 pages. Major revision. Published version