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Subcategories of triangulated categories and the smashing conjecture / Kristian Brüning. 2007
Inhalt
Contents
Introduction
Triangulated categories and their localization
Definitions and examples
Thick subcategories and Verdier-quotients
Localizations
Smashing and finite localizations
The Telescope Conjecture and the Smashing Conjecture
The Telescope Conjecture in stable homotopy theory
The Smashing Conjecture in commutative algebra
Keller's counterexample
The Smashing Conjecture for stable module categories
The Smashing Conjecture for arbitrary triangulated categories
Applications
Cotorsion pairs, model categories and finite generation
Model categories
Cotorsion pairs and model categories
Finite generation and the Smashing Conjecture
Realizing smashing localizations of differential graded algebras
Differential graded algebras
Cofibrant differential graded algebras
Cohomological p-Localization
Smashing localizations of the derived category of a dg algebra
Smashing subcategories of algebraic triangulated categories
The p-localization of a dg algebra
Thick subcategories of the derived category of a hereditary algebra
Representation theory of hereditary algebras of finite representation type
The derived category of hereditary abelian categories
Thick subcategories of abelian categories
Classification of thick subcategories
Classification of localizing subcategories
References
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