Resolution of coloured operads and rectification of homotopy algebras

Simple item page
dc.creatorBerger, Clemens
dc.creatorMoerdijk, Ieke
dc.date2005-12-26
dc.date2008-01-17
dc.date.accessioned2026-07-07T08:54:54Z
dc.date.available2026-07-07T08:54:54Z
dc.descriptionWe provide general conditions under which the algebras for a coloured operad in a monoidal model category carry a Quillen model structure, and prove a Comparison Theorem to the effect that a weak equivalence between suitable such operads induces a Quillen equivalence between their categories of algebras. We construct an explicit Boardman-Vogt style cofibrant resolution for coloured operads, thereby giving a uniform approach to algebraic structures up to homotopy over coloured operads. The Comparison Theorem implies that such structures can be rectified.
dc.descriptionpublished version
dc.identifierhttps://arxiv.org/abs/math/0512576
dc.identifierhttp://arxiv.org/abs/math/0512576
dc.identifierContemp. Math. 431 (2007) 31-58
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146107
dc.subjectAlgebraic Topology
dc.subject18D50 (Primary); 18G55, 55U35 (Secondary)
dc.titleResolution of coloured operads and rectification of homotopy algebras
dc.typetext

Files

Collections

arXiv