Every homotopy theory of simplicial algebras admits a proper model
classification
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math.CT
keywords
categorymodelsimplicialalgebrastheoryalgebraicclosedproper
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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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