Complicial structures in the nerves of omega-categories
arXiv:1308.1532
Abstract
It is known that strict omega-categories are equivalent through the nerve functor to complicial sets and to sets with complicial identities. It follows that complicial sets are equivalent to sets with complicial identities. We discuss these equivalences. In particular we give a conceptual proof that the nerves of omega-categories are complicial sets, and a direct proof that complicial sets are sets with complicial identities.
25 pages. Version 2 has updated reference in bibliography. Paper has been published