Dwyer-Kan localization revisited
Quantum Algebra
2015-09-21 v4 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.1311.4128,
title = {Dwyer-Kan localization revisited},
author = {V. Hinich},
journal= {arXiv preprint arXiv:1311.4128},
year = {2015}
}
Comments
24 pages, the final version, accepted to "Homology, Homotopy and Applications"