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Construction of Fibred Categories

  • Denis-Charles CisinskiEmail author
  • Frédéric Déglise
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Fakultät für MathematikUniversität RegensburgRegensburgGermany
  2. 2.Institut de Mathématiques de BourgogneCNRS, Université de BourgogneDijonFrance

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