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 $C[W^{-1}]$ of C with respect to W; that is, $\pi_0 LC(x, y) = C[W^{-1}](x, y)$ for any objects x, y in C. The notion is due to Dwyer and Kan.

References

W. G. Dwyer and Dan Kan, [http://www3.nd.edu/~wgd/Dvi/SimplicialLocalizations.pdf Simplicial localizations of categories] {{Webarchive|url=https://web.archive.org/web/20140324075548/http://www3.nd.edu/~wgd/Dvi/SimplicialLocalizations.pdf |date=2014-03-24 }}
http://math.mit.edu/~mdono/_Juvitop.pdf {{Webarchive|url=https://web.archive.org/web/20131105064343/http://math.mit.edu/~mdono/_Juvitop.pdf |date=2013-11-05 }}

External links

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Category:Category theory