Abelian Model Category Theory
portes grátis
Abelian Model Category Theory
Gillespie, James
Cambridge University Press
12/2024
436
Dura
9781009449465
Pré-lançamento - envio 15 a 20 dias após a sua edição
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Introduction and main examples: 1. Additive and exact categories; 2. Cotorsion pairs; 3. Stable categories from cotorsion pairs; 4. Hovey triples and abelian model structures; 5. The homotopy category of an abelian model structure; 6. The triangulated homotopy category; 7. Derived functors and abelian monoidal model structures; 8. Hereditary model structures; 9. Constructing complete cotorsion pairs; 10. Abelian model structures on chain complexes; 11. Mixed model structures and examples; 12. Cofibrant generation and well-generated homotopy categories; A. Hovey's correspondence for general exact categories; B. Right and left homotopy relations; C. Bibliographical notes; References; Index.
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Introduction and main examples: 1. Additive and exact categories; 2. Cotorsion pairs; 3. Stable categories from cotorsion pairs; 4. Hovey triples and abelian model structures; 5. The homotopy category of an abelian model structure; 6. The triangulated homotopy category; 7. Derived functors and abelian monoidal model structures; 8. Hereditary model structures; 9. Constructing complete cotorsion pairs; 10. Abelian model structures on chain complexes; 11. Mixed model structures and examples; 12. Cofibrant generation and well-generated homotopy categories; A. Hovey's correspondence for general exact categories; B. Right and left homotopy relations; C. Bibliographical notes; References; Index.
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