TY - EJOUR
DO - 10.1090/conm/641/12859
AB - 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.
T1 - Left-induced model structures and diagram categories
DA - 2015
AU - Bayeh, Marzieh
AU - Hess, Kathryn
AU - Karpova, Varvara
AU - Kedziorek, Magdalena
AU - Riehl, Emily
AU - Shipley, Brooke
JF - Contemporary Mathematics
SP - 49-81
VL - 641
EP - 49-81
ID - 198158
KW - Model category
KW - weak factorization system
KW - fibrant generation
KW - Postnikov presentation
KW - injective model structure
UR - http://infoscience.epfl.ch/record/198158/files/BHKKRS_published.pdf
UR - http://infoscience.epfl.ch/record/198158/files/ModelCatTeam.cm.pdf
ER -