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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1308.1532.pdf 223kB |
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 |
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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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