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Construction of Fibred Categories

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Triangulated Categories of Mixed Motives

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

In Section 5, we introduce methods from classical homological algebra (i.e. using mostly the language of derived categories of abelian categories and their Verdier quotients) to construct the main examples of premotivic categories of interest in this book, while, in Section 6, we study how to check that the localization axiom holds in practice. Section 7 is devoted to the process of obtaining new fibred categories from old ones, by considering homotopy theoretic modules over a ring object.

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Correspondence to Denis-Charles Cisinski .

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Cisinski, DC., Déglise, F. (2019). Construction of Fibred Categories. In: Triangulated Categories of Mixed Motives. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-33242-6_2

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