Dwyer-Kan localization revisited
By V. Hinich. 2013
114 citations recorded by the source corpus.
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.
Subfields: Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/c21e138b6ac5641cfa150bcb6fd77965666d71ca
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In Mathematical Physics
- Yonatan Harpaz
- Ilan Barnea
- Geoffroy Horel
- V. Hinich
- G. Giachetta
- G. Sardanashvily
- D. Guin
- Jean-Michel Oudom
Citations in the corpus
- Rectification of algebras and modules (2013, background): “The category AlgO(C(k)) has a “weak simplicial model category structure” (see [H.L], 2.”
- Pro-categories in homotopy theory (2015, methodology): “We refer to [Hi13] for the equivalence of the two constructions.”