Simplicial localization
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.
![C[W^{-1}]](../I/m/d901352ac62aa852c8be6a1930c2e6e93625203a.svg)
](../I/m/35b03d9e285e4bfb277f3842f276bedc8184230c.svg)
References
- W. G. Dwyer and Dan Kan, Simplicial localizations of categories
- http://math.mit.edu/~mdono/_Juvitop.pdf
External links
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