From fractions to complete Segal spaces

@article{Low2015FromFT,
  title={From fractions to complete Segal spaces},
  author={Zhen Lin Low and Aaron Mazel-Gee},
  journal={Homology, Homotopy and Applications},
  year={2015},
  volume={17},
  pages={321-338}
}
  • Zhen Lin Low, Aaron Mazel-Gee
  • Published 2015
  • Mathematics
  • Homology, Homotopy and Applications
  • We show that the Rezk classification diagram of a relative category admitting a homotopical version of the two-sided calculus of fractions is a Segal space up to Reedy-fibrant replacement. This generalizes the result of Rezk and Bergner on the classification diagram of a closed model category, as well as the result of Barwick and Kan on the classification diagram of a partial model category. 

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