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arxiv: math/0003065 · v1 · submitted 2000-03-10 · 🧮 math.AT · math.CT

Every homotopy theory of simplicial algebras admits a proper model

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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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