Definable Additive Categories : Purity and Model Theory.

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.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.