• Corpus ID: 3011929

A MODEL STRUCTURE ON INTERNAL CATEGORIES IN SIMPLICIAL SETS

@article{Horel2015AMS,
  title={A MODEL STRUCTURE ON INTERNAL CATEGORIES IN SIMPLICIAL SETS},
  author={Geoffroy Horel},
  journal={arXiv: Algebraic Topology},
  year={2015}
}
  • Geoffroy Horel
  • Published 26 March 2014
  • Mathematics
  • arXiv: Algebraic Topology
We put a model structure on the category of categories internal to sim- plicial sets. The weak equivalences in this model structure are preserved and reected by the nerve functor to bisimplicial sets with the complete Segal space model struc- ture. This model structure is shown to be a model for the homotopy theory of innity categories. We also study the homotopy theory of internal presheaves over an internal category. 

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