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arXiv 2013-07-16 0 views

The algebra of the nerves of omega-categories

Steiner, Richard

Original · EN

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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