An explicit comparison between 2-complicial sets and Θ₂-spaces

2021/04/27 by Bergner, Julia E., Ozornova, Viktoriya, Rovelli, Martina
#18N10 #18N50 #18N65 #55U10 #55U35 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2104.13292

Abstract

We produce a direct Quillen equivalence between two models of (∞,2)-categories: the complete Segal Θ₂-spaces due to Rezk and the 2-complicial sets due to Verity.

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