A Model Structure on the Category of Topological Categories

2011/10/12 by Ilias Amrani, Amrani, Ilias · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1110.2695

openalex publication_date 2011/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we construct a cofibrantly generated Quillen model structure on the category of small topological categories Cat_Top. It is Quillen equivalent to the Joyal model structure of (∞,1)-categories and the Bergner model structure on Cat_sSet.

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