arXiv Open Access 2021

Orientals as free weak $ω$-categories

Yuki Maehara
Lihat Sumber

Abstrak

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

Topik & Kata Kunci

Penulis (1)

Y

Yuki Maehara

Format Sitasi

Maehara, Y. (2021). Orientals as free weak $ω$-categories. https://arxiv.org/abs/2102.09736

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2021
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓