The Boardman?Vogt resolution of operads in monoidal model categories

• Autores: Clemens Berger, Ieke Moerdijk
• Localización: Topology, ISSN 0040-9383, Vol. 45, Nº 5, 2006, págs. 807-850
• Idioma: inglés
• DOI: 10.1016/j.top.2006.05.001
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• Resumen

  • We extend the -construction of Boardman and Vogt to operads of an arbitrary monoidal model category with suitable interval, and show that it provides a cofibrant resolution for well-pointed -cofibrant operads. The standard simplicial resolution of Godement as well as the cobar?bar chain resolution are shown to be particular instances of this generalised -construction.

    We extend the -construction of Boardman and Vogt to operads of an arbitrary monoidal model category with suitable interval, and show that it provides a cofibrant resolution for well-pointed -cofibrant operads. The standard simplicial resolution of Godement as well as the cobar?bar chain resolution are shown to be particular instances of this generalised -construction.