Misplaced Pages

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 ${\displaystyle \pi _{0}}$ is the localization ${\displaystyle C}$ of C with respect to W; that is, ${\displaystyle \pi _{0}LC(x,y)=C(x,y)}$ 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 Archived 2014-03-24 at the Wayback Machine
• http://math.mit.edu/~mdono/_Juvitop.pdf Archived 2013-11-05 at the Wayback Machine

External links

• simplicial localization at the nLab

This category theory-related article is a stub. You can help Misplaced Pages by expanding it.

• v
• t
• e

• Category theory
• Category theory stubs