Every homotopy theory of simplicial algebras admits a proper model

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)65-94
Number of pages30
JournalTopology and its Applications
Volume119
Issue number1
DOIs
StatePublished - Mar 31 2002

Keywords

  • Algebraic theories
  • Model categories
  • Simplicial algebras

ASJC Scopus subject areas

  • Geometry and Topology

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