198158
20190316235906.0
doi
10.1090/conm/641/12859
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
240499
Hess, Kathryn
105396
243127
Karpova, Varvara
166493
Kedziorek, Magdalena
Riehl, Emily
Shipley, Brooke
641
49-81
Contemporary Mathematics
3608042
http://infoscience.epfl.ch/record/198158/files/BHKKRS_published.pdf
Publisher's version
Publisher's version
461866
http://infoscience.epfl.ch/record/198158/files/ModelCatTeam.cm.pdf
Preprint
Preprint
252139
UPHESS
U10968
oai:infoscience.tind.io:198158
SV
article
GLOBAL_SET
105396
105396
182396
EPFL-ARTICLE-198158
EPFL
REVIEWED
PUBLISHED
ARTICLE