Geodesic
Fibered multiderivators and (co)homological descent
Theory and applications of categories, Tome 32 (2017), pp. 1258-1362

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

The theory of derivators enhances and simplifies the theory of triangulated categories. In this article a notion of fibered (multi)derivator is developed, which similarly enhances fibrations of (monoidal) triangulated categories. We present a theory of cohomological as well as homological descent in this language. The main motivation is a descent theory for Grothendieck's six operations.

Publié le :
Classification : 55U35, 14F05, 18D10, 18D30, 18E30, 18G99
Keywords: Derivators, fibered derivators, multiderivators, fibered multicategories, Grothendieck's six-functor-formalism, cohomological descent, homological descent, fundamental localizers, well-generated triangulated categories, equivariant derived categories 
@article{TAC_2017_32_a37,
     author = {Fritz H\"ormann},
     title = {Fibered multiderivators and (co)homological descent},
     journal = {Theory and applications of categories},
     pages = {1258--1362},
     publisher = {mathdoc},
     volume = {32},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2017_32_a37/}
}
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Fritz Hörmann. Fibered multiderivators and (co)homological descent. Theory and applications of categories, Tome 32 (2017), pp. 1258-1362. http://geodesic.mathdoc.fr/item/TAC_2017_32_a37/