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The algebra of the nerves of omega-categories

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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 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.

Keywords:
complicial identities, omega-category

2010 MSC:
18D05

*Theory and Applications of Categories,*
Vol. 28, 2013,
No. 23, pp 733-779.

Published 2013-09-01.

http://www.tac.mta.ca/tac/volumes/28/23/28-23.dvi

http://www.tac.mta.ca/tac/volumes/28/23/28-23.ps

http://www.tac.mta.ca/tac/volumes/28/23/28-23.pdf

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/28/23/28-23.dvi

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/28/23/28-23.ps

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