The Boardman-Vogt Resolution of Operads in Monoidal Model Categories

Abstract

We extend the W-construction of Boardman and Vogt to operadsof an arbitrary monoidal model category with suitable interval, and show thatit provides a cofibrant resolution for well-pointed -cofibrant operads. Thestandard simplicial resolution of Godement as well as the cobar-bar chain res-olution are shown to be particular instances of this generalisedW-construction.