Left-induced model structures and diagram categories

@article{Bayeh2014LeftinducedMS,
  title={Left-induced model structures and diagram categories},
  author={Marzieh Bayeh and Kathryn Hess and Varvara Karpova and Magdalena Kȩdziorek and Emily Riehl and Brooke E. Shipley},
  journal={Contemporary mathematics},
  year={2014},
  volume={641},
  pages={49-81}
}
We prove existence results a la Jeff Smith for left-induced model category structures, of which the injective model structure on a diagram category is an important example. We further develop the notions of fibrant generation and Postnikov presentation from [9], which are dual to a weak form of cofibrant generation and cellular presentation. As examples, for k a field and H a differential graded Hopf algebra over k, we produce a left-induced model structure on augmented H-comodule algebras and… 
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