TY - JOUR
T1 - Every homotopy theory of simplicial algebras admits a proper model
AU - Rezk, Charles
N1 - Funding Information:
E-mail address: [email protected] (C. Rezk). 1Current address: Department of Mathematics, University of Illinois at Urbana–Champaign, Urbana, IL 61801, USA. The author was supported by an AMS Centennial Fellowship, and by NSF grant DMS 97-29992.
PY - 2002/3/31
Y1 - 2002/3/31
N2 - 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.
AB - 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.
KW - Algebraic theories
KW - Model categories
KW - Simplicial algebras
UR - http://www.scopus.com/inward/record.url?scp=0038011099&partnerID=8YFLogxK
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U2 - 10.1016/S0166-8641(01)00057-8
DO - 10.1016/S0166-8641(01)00057-8
M3 - Article
AN - SCOPUS:0038011099
SN - 0166-8641
VL - 119
SP - 65
EP - 94
JO - Topology and its Applications
JF - Topology and its Applications
IS - 1
ER -