The Boardman-Vogt resolution of operads in monoidal model categories

Details The Boardman-Vogt resolution of operads in monoidal model categories The Boardman-Vogt resolution of operads in monoidal model categories

2005-02-08

arxiv.org/abs/math/0502155v2

Topology 45 (2006) 807-849

Mathematics

Algebraic Topology

Scientific paper

10.1016/j.top.2006.05.001

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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