# 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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