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Resolution of Coloured Operads and Rectification of Homotopy Algebras

By C. Berger and I. Moerdijk

Abstract

We provide general conditions under which the algebras for a\ud coloured operad in a monoidal model category carry a Quillen model struc-\ud ture, and prove a Comparison Theorem to the effect that a weak equivalence\ud between suitable such operads induces a Quillen equivalence between their cat-\ud egories of algebras. We construct an explicit Boardman-Vogt style cofibrant\ud resolution for coloured operads, thereby giving a uniform approach to algebraic\ud structures up to homotopy over coloured operads. The Comparison Theorem\ud implies that such structures can be rectified

Topics: Wiskunde en Informatica
Year: 2005
OAI identifier: oai:dspace.library.uu.nl:1874/19234
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