Orientals as free weak $\omega$-categories

Abstract

The orientals are the free strict $\omega$-categories on the simplices introduced by Street. The aim of this paper is to show that they are also the free weak $\omega$-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.

v2: 24 pages. Major revision. Published version

Cited by in corpus (1)

• Nerves and cones of free loop-free ω-categories