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arXiv · 1311.4128

Dwyer-Kan localization revisited

V. Hinich
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Abstract

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.

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V. Hinich. 2013-11-17. Dwyer-Kan localization revisited. https://arxiv.org/abs/1311.4128

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