Dwyer-Kan localization revisited

@article{Hinich2013DwyerKanLR,
  title={Dwyer-Kan localization revisited},
  author={Vladimir Hinich},
  journal={arXiv: Quantum Algebra},
  year={2013}
}
  • V. Hinich
  • Published 17 November 2013
  • Mathematics
  • arXiv: Quantum Algebra
A version of Dwyer-Kan localization in the context of infinity-categories and simplicial categories is presented. Some results of the classical papers by Dwyer and Kan on simplicial localization are reproven and generalized. It is proven that a Quillen pair of model categories gives rise to an adjoint pair of the DK localizations. Also a result on localization of a family of infinity-categories is proven. This, in particular, is applied to localization of symmetric monoidal infinity-categories… 
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78 Citations
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