Admissibility and rectification of colored symmetric operads

@article{Pavlov2018AdmissibilityAR,
  title={Admissibility and rectification of colored symmetric operads},
  author={Dmitri Pavlov and Jakob Scholbach},
  journal={Journal of Topology},
  year={2018},
  volume={11}
}
We establish a highly flexible condition that guarantees that all colored symmetric operads in a symmetric monoidal model category are admissible, that is, the category of algebras over any operad admits a model structure transferred from the original model category. We also give a necessary and sufficient criterion that ensures that a given weak equivalence of admissible operads admits rectification, that is, the corresponding Quillen adjunction between the categories of algebras is a Quillen… 

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