Every homotopy theory of simplicial algebras admits a proper model

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dc.creatorRezk, Charles
dc.date2000-03-10
dc.date.accessioned2026-07-07T12:09:27Z
dc.date.available2026-07-07T12:09:27Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0003065
dc.identifierhttp://arxiv.org/abs/math/0003065
dc.identifierTopology Appl. 119 (2002), 65-94
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209629
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subject18G55 (Primary) 18C10, 55U35 (Secondary)
dc.titleEvery homotopy theory of simplicial algebras admits a proper model
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