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Complicial structures in the nerves of omega-categories
Richard Steiner
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 equ…
math.CT2013
The algebra of the nerves of omega-categories
Richard Steiner
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 structu…