Definable Additive Categories : Purity and Model Theory.
Prest, Mike.
Definable Additive Categories : Purity and Model Theory. - 1st ed. - 1 online resource (122 pages) - Memoirs of the American Mathematical Society ; v.210 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Abstract -- Chapter 1. Introduction -- Chapter 2. Preadditive and additive categories -- Chapter 3. Preadditive categories and their ind-completions -- Chapter 4. The free abelian category of a preadditive category -- Chapter 5. Purity -- Chapter 6. Locally coherent categories -- Chapter 7. Localisation -- Chapter 8. Serre subcategories of the functor category -- Chapter 9. Conjugate and dual categories -- Chapter 10. Definable subcategories -- Chapter 11. Exactly definable categories -- Chapter 12. Recovering the definable structure -- Chapter 13. Functors between definable categories -- Chapter 14. Spectra of definable categories -- Chapter 15. Definable functors and spectra -- Chapter 16. Triangulated categories -- Chapter 17. Some open questions -- Chapter 18. Model theory in finitely accessible categories -- Chapter 19. pp-Elimination of quantifiers -- Chapter 20. Ultraproducts -- Chapter 21. Pure-injectives and elementary equivalence -- Chapter 22. Imaginaries and finitely presented functors -- Chapter 23. Elementary duality -- Chapter 24. Hulls of types and irreducible types -- Chapter 25. Interpretation functors -- Chapter 26. Stability -- Chapter 27. Ranks -- Bibliography.
9781470406042
Abelian categories.
Model theory.
Electronic books.
QA169 -- .P725 2010eb
512/.62
Definable Additive Categories : Purity and Model Theory. - 1st ed. - 1 online resource (122 pages) - Memoirs of the American Mathematical Society ; v.210 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Abstract -- Chapter 1. Introduction -- Chapter 2. Preadditive and additive categories -- Chapter 3. Preadditive categories and their ind-completions -- Chapter 4. The free abelian category of a preadditive category -- Chapter 5. Purity -- Chapter 6. Locally coherent categories -- Chapter 7. Localisation -- Chapter 8. Serre subcategories of the functor category -- Chapter 9. Conjugate and dual categories -- Chapter 10. Definable subcategories -- Chapter 11. Exactly definable categories -- Chapter 12. Recovering the definable structure -- Chapter 13. Functors between definable categories -- Chapter 14. Spectra of definable categories -- Chapter 15. Definable functors and spectra -- Chapter 16. Triangulated categories -- Chapter 17. Some open questions -- Chapter 18. Model theory in finitely accessible categories -- Chapter 19. pp-Elimination of quantifiers -- Chapter 20. Ultraproducts -- Chapter 21. Pure-injectives and elementary equivalence -- Chapter 22. Imaginaries and finitely presented functors -- Chapter 23. Elementary duality -- Chapter 24. Hulls of types and irreducible types -- Chapter 25. Interpretation functors -- Chapter 26. Stability -- Chapter 27. Ranks -- Bibliography.
9781470406042
Abelian categories.
Model theory.
Electronic books.
QA169 -- .P725 2010eb
512/.62