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arxiv: math/0502155 · v2 · submitted 2005-02-08 · 🧮 math.AT · math.CT

The Boardman-Vogt resolution of operads in monoidal model categories

Clemens Berger , Ieke Moerdijk This is my paper
classification 🧮 math.AT math.CT
keywords resolutionoperadsmodelmonoidalw-constructionarbitraryboardmanboardman-vogt
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We extend the W-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 sigma-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 W-construction.

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