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The algebra of the nerves of omega-categories

Authors
  • Steiner, Richard
Type
Published Article
Publication Date
Jul 16, 2013
Submission Date
Jul 16, 2013
Identifiers
arXiv ID: 1307.4236
Source
arXiv
License
Yellow
External links

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.

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