THREE MODELS FOR THE HOMOTOPY THEORY OF HOMOTOPY THEORIES

@article{Bergner2005THREEMF,
  title={THREE MODELS FOR THE HOMOTOPY THEORY OF HOMOTOPY THEORIES},
  author={Julia E. Bergner},
  journal={Topology},
  year={2005},
  volume={46},
  pages={397-436}
}
Abstract Given any model category, or more generally any category with weak equivalences, its simplicial localization is a simplicial category which can rightfully be called the “homotopy theory” of the model category. There is a model category structure on the category of simplicial categories, so taking its simplicial localization yields a “homotopy theory of homotopy theories”. In this paper we show that there are two different categories of diagrams of simplicial sets, each equipped with an… Expand

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