Title: Every homotopy theory of simplicial algebras
admits a proper model
Author: Charles Rezk
AMS Classification: Primary 18G55; Secondary 18C10, 55U35
Date: March 10, 2000
Address: Institute for Advanced Study
Princeton, NJ 08540}
rezk@math.nwu.edu
Abstract:
We show that any closed model category of simplicial algebras over an
algebraic theory is Quillen equivalent to a proper closed model
category. By ``simplicial algebra'' we mean any category of algebras
over a simplicial algebraic theory, which is allowed to be
multi-sorted. The results have applications to the construction of
localization model category structures.