Geodesic
Complicial structures in the nerves of omega-categories
Theory and applications of categories, Tome 28 (2013), pp. 779-803

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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 equivalent to sets with complicial identities. We discuss these equivalences. In particular we give a conceptual proof that the nerves of omega-categories are complicial sets, and a direct proof that complicial sets are sets with complicial identities.

Publié le :
Classification : 18D05
Keywords: complicial set, complicial identities, omega-category 
@article{TAC_2013_28_a23,
     author = {Richard Steiner},
     title = {Complicial structures in the nerves of omega-categories},
     journal = {Theory and applications of categories},
     pages = {779--803},
     publisher = {mathdoc},
     volume = {28},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2013_28_a23/}
}
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Richard Steiner. Complicial structures in the nerves of omega-categories. Theory and applications of categories, Tome 28 (2013), pp. 779-803. http://geodesic.mathdoc.fr/item/TAC_2013_28_a23/