Every homotopy theory of simplicial algebras admits a proper model

Details Every homotopy theory of simplicial algebras admits a proper model Every homotopy theory of simplicial algebras admits a proper model

2000-03-10

arxiv.org/abs/math/0003065v1

Topology Appl. 119 (2002), 65-94

Mathematics

Algebraic Topology

Scientific paper

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.

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