Complicial Sets

Dominic Verity

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Complicial Sets

Dominic Verity

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Abstract

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 the ``complicial sets'' defined and named by John Roberts in his handwritten notes of that title.

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Dominic Verity. 2005-07-12. Complicial Sets. https://arxiv.org/abs/math/0410412

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