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arXiv · 1110.2695

A Model Structure on the Category of Topological Categories

Ilias Amrani
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Abstract

In this article, we construct a cofibrantly generated Quillen model structure on the category of small topological categories $\mathbf{Cat}_{\mathbf{Top}}$. It is Quillen equivalent to the Joyal model structure of $(\infty,1)$-categories and the Bergner model structure on $\mathbf{Cat}_{\mathbf{sSet}}$.

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Ilias Amrani. 2011-10-12. A Model Structure on the Category of Topological Categories. https://arxiv.org/abs/1110.2695

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