6533b85ffe1ef96bd12c243c

RESEARCH PRODUCT

Construction of Fibred Categories

Frédéric DégliseDenis-charles Cisinski

subject

AlgebraRing (mathematics)Section (category theory)Mathematics::Category TheoryHomotopyObject (grammar)Homological algebraFibered knotAbelian groupAxiomMathematics

description

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.

yearjournalcountryeditionlanguage
2019-01-01
https://doi.org/10.1007/978-3-030-33242-6_2