198158
20190316235906.0
10.1090/conm/641/12859
doi
ARTICLE
Left-induced model structures and diagram categories
2015
2015
Journal Articles
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.
Model category
weak factorization system
fibrant generation
Postnikov presentation
injective model structure
Bayeh, Marzieh
Hess, Kathryn
105396
240499
Karpova, Varvara
166493
243127
Kedziorek, Magdalena
Riehl, Emily
Shipley, Brooke
49-81
Contemporary Mathematics
641
Publisher's version
3608042
Publisher's version
http://infoscience.epfl.ch/record/198158/files/BHKKRS_published.pdf
Preprint
461866
Preprint
http://infoscience.epfl.ch/record/198158/files/ModelCatTeam.cm.pdf
UPHESS
252139
U10968
oai:infoscience.tind.io:198158
article
SV
GLOBAL_SET
105396
105396
182396
EPFL-ARTICLE-198158
EPFL
PUBLISHED
REVIEWED
ARTICLE