Complicial Sets

Details Complicial Sets Complicial Sets

2004-10-19

arxiv.org/abs/math/0410412v2

Memoirs of the AMS, volume 193, number 905, May 2008

Mathematics

Category Theory

167 pages, AMSLaTeX; minor revisions and typo fixes, reformatted for better A4 printing

Scientific paper

The primary purpose of this work is to characterise strict \omega-categories
as simplicial sets with structure. We prove the Street-Roberts conjecture which
states that they are exactly the ``complicial sets'' defined and named by John
Roberts in his handwritten notes of that title.

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