A model category structure on the category of simplicial categories

2004/06/24 by Julia E. Bergner, Bergner, Julia E. · 10 citations
Mathematics · #18D20 #18G55 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #math.CT #msc:18D20 #msc:18G55

paper · pdf · doi:10.48550/arxiv.math/0406507

16 pages, revised version has proof of right properness and a few minor changes; to appear in Transactions of the AMS

openalex publication_date 2004/06/24 · arxiv created 2005/08/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we put a cofibrantly generated model category structure on the category of small simplicial categories. The weak equivalences are a simplicial analogue of the notion of equivalence of categories.

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