The Boardman-Vogt resolution of operads in monoidal model categories
Algebraic Topology
2009-09-29 v2 Category Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0502155,
title = {The Boardman-Vogt resolution of operads in monoidal model categories},
author = {Clemens Berger and Ieke Moerdijk},
journal= {arXiv preprint arXiv:math/0502155},
year = {2009}
}