Geodesic
Fibered multiderivators and (co)homological descent
Theory and applications of categories, Tome 32 (2017), pp. 1258-1362 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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},
     year = {2017},
     volume = {32},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2017_32_a37/}
}
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%0 Journal Article
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%J Theory and applications of categories
%D 2017
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%F TAC_2017_32_a37
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/