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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Text (pdf file)
1307.4236.pdf - Submitted Version 378kB |
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 |
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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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