Complicial structures in the nerves of omega-categories

Steiner, R. (2013) Complicial structures in the nerves of omega-categories. Theory and Applications of Categories, 28(24), pp. 780-803.

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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.

Item Type:Articles
Keywords:complicial set, complicial identities, omega-category
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steiner, Dr Richard
Authors: Steiner, R.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Theory and Applications of Categories
ISSN:1201-561X

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