125 research outputs found
Dwyer-Kan localization revisited
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, where some (partial) results are
obtained.Comment: 24 pages, the final version, accepted to "Homology, Homotopy and
Applications
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