# Simplicial localization

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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