We prove that categories enriched in the Thomason model structure admit a model structure that is Quillen equivalent to the Bergner model structure on simplicial categories, providing a new model for (infinity, 1)-categories. Along the way, we construct model structures on modules and monoids in the Thomason model structure and prove that any model structure on the category of small categories that has the same weak equivalences as the Thomason model structure is not a cartesian model structure. This paper is also available as arXiv :2208 .02954v4.(c) 2023 Published by Elsevier B.V.
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Case Western Reserve Univ, Dept Math Appl Math & Stat, Cleveland, OH 44106 USACase Western Reserve Univ, Dept Math Appl Math & Stat, Cleveland, OH 44106 USA
Gurski, Nick
Johnson, Niles
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Ohio State Univ Newark, Dept Math, Newark, OH USACase Western Reserve Univ, Dept Math Appl Math & Stat, Cleveland, OH 44106 USA
Johnson, Niles
Osorno, Angelica M.
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Reed Coll, Dept Math, Portland, OR 97202 USACase Western Reserve Univ, Dept Math Appl Math & Stat, Cleveland, OH 44106 USA