Name
Abstract | ||
|---|---|---|
In this article, we develop a notion of Quillen bifibration whose purpose is to combine the two notions of Grothendieck bifibration and of Quillen model structure. In particular, given a bifibration p:E→B, we describe when a family of model structures on the fibers EA and on the basis category B combines into a model structure on the total category E, such that the functor p preserves cofibrations, fibrations and weak equivalences. Using this Grothendieck construction for model structures, we revisit the traditional definition of Reedy model structures, and possible generalizations, and exhibit their bifibrational nature. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.aim.2020.107205 | Advances in Mathematics |
Keywords | Field | DocType |
18D30,18N40,18N50 | Grothendieck construction,Discrete mathematics,Generalization,Pure mathematics,Functor,Mathematics | Journal |
Volume | ISSN | Citations |
370 | 0001-8708 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pierre Cagne | 1 | 0 | 0.34 |
| Paul-andré Melliès | 2 | 392 | 30.70 |