@article{Bayeh:198158,
title = {Left-induced model structures and diagram categories},
author = {Bayeh, Marzieh and Hess, Kathryn and Karpova, Varvara and Kedziorek, Magdalena and Riehl, Emily and Shipley, Brooke},
journal = {Contemporary Mathematics},
volume = {641},
pages = {49-81},
year = {2015},
abstract = {We prove existence results à 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 work of the second author, 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 show that the category of bounded below chain complexes of finite-dimensional k-vector spaces has a Postnikov presentation. To conclude, we investigate the fibrant generation of (generalized) Reedy categories. In passing, we also consider cofibrant generation, cellular presentation, and the small object argument for Reedy diagrams.},
url = {http://infoscience.epfl.ch/record/198158},
doi = {10.1090/conm/641/12859},
}