Geodesic
The algebra of the nerves of omega-categories
Theory and applications of categories, Tome 28 (2013), pp. 733-779 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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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Classification : 18D05
Keywords: complicial identities, omega-category 
@article{TAC_2013_28_a22,
     author = {Richard Steiner},
     title = {The algebra of the nerves of omega-categories},
     journal = {Theory and applications of categories},
     pages = {733--779},
     year = {2013},
     volume = {28},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2013_28_a22/}
}
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Richard Steiner. The algebra of the nerves of omega-categories. Theory and applications of categories, Tome 28 (2013), pp. 733-779. http://geodesic.mathdoc.fr/item/TAC_2013_28_a22/