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arXiv · 1307.4236

The algebra of the nerves of omega-categories

Richard Steiner
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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.

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Richard Steiner. 2013-07-16. The algebra of the nerves of omega-categories. https://arxiv.org/abs/1307.4236

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