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math.CT2006★ 9 cited
Weak complicial sets, a simplicial weak omega-category theory. Part II: nerves of complicial Gray-categories
Dominic Verity
This paper continues the development of a simplicial theory of weak omega-categories, by studying categories which are enriched in weak complicial sets. These complicial Gray-categ…
math.CT2006★ 9 cited
Weak complicial sets, a simplicial weak omega-category theory. Part I: basic homotopy theory
Dominic Verity
This paper develops the foundations of a simplicial theory of weak omega-categories, which builds upon the insights originally expounded by Ross Street in his 1987 paper on oriente…
math.CT2004
Complicial Sets
Dominic Verity
The primary purpose of this work is to characterise strict ω-categories as simplicial sets with structure. We prove the Street-Roberts conjecture which states that they are exactly…