In category theory, a branch of mathematics, the simplicial localization of a category C with respect to a class W of morphisms of C is a simplicial category LC whose is the localization of C with respect to W; that is, for any objects x, y in C. The notion is due to Dwyer and Kan.
References W. G. Dwyer and Dan Kan, Simplicial localizations of categories http://math.mit.edu/~mdono/_Juvitop.pdf
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