The algebra of the nerves of omega-categories

Steiner, R. (2013) The algebra of the nerves of omega-categories. Theory and Applications of Categories, 28(23), pp. 733-779.

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Abstract

We show that the nerve of a strict omega-category can be described algebraically as a simplicial set with additional operations subject to certain identities. The resulting structures are called sets with complicial identities. We also construct an equivalence between the categories of strict omega-categories and of sets with complical identities.

Item Type:Articles
Keywords: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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