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 $\pi_0$ is the localization C ^/math> of ''C'' with respect to ''W''; that is, \pi_0 LC(x, y) = C ^x, y) 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

External links

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Category theory

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