2001/10/25 by Carlos Simpson, Simpson, Carlos · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.CT
paper · pdf · doi:10.48550/arxiv.math/0110273
arxiv created 2001/10/25 · openalex publication_date 2001/10/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let Ln denote the Dwyer-Kan localization of the category of weak n-categories divided by the n-equivalences. We propose a list of properties that this simplicial category is likely to have, and conjecture that these properties characterize Ln up to equivalence. We show, using these properties, how to obtain the morphism n-1-categories between two points in an object of Ln and how to obtain the composition map between the morphism objects.