The Duskin nerve of 2-categories in Joyal's cell category Theta₂

2019/10/14 by Viktoriya Ozornova, Ozornova, Viktoriya, Martina Rovelli +1
Mathematics · #18D05 #18G30 #55U10 #55U35 #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1910.06103

openalex publication_date 2019/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an explicit and purely combinatorial description of the Duskin nerve of any (r+1)-point suspension 2-category, and in particular of any 2-category belonging to Joyal's cell category Theta₂.

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