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Orientals as free weak $ω$-categories
Published 19 Feb 2021 in math.CT | (2102.09736v2)
Abstract: The orientals are the free strict $\omega$-categories on the simplices introduced by Street. The aim of this paper is to show that they are also the free weak $\omega$-categories on the same generating data. More precisely, we exhibit the Street nerves of the orientals as fibrant replacements of the simplices in Verity's model structure for complicial sets.
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