Every homotopy theory of simplicial algebras admits a proper model
Algebraic Topology
2008-12-05 v1 Category Theory
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.
Keywords
Cite
@article{arxiv.math/0003065,
title = {Every homotopy theory of simplicial algebras admits a proper model},
author = {Charles Rezk},
journal= {arXiv preprint arXiv:math/0003065},
year = {2008}
}