A Model Structure on the Category of Topological Categories

Details A Model Structure on the Category of Topological Categories A Model Structure on the Category of Topological Categories

2011-10-12

arxiv.org/abs/1110.2695v1

Mathematics

Algebraic Topology

Scientific paper

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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