1.

Record Nr.

UNINA9910788860203321

Autore

Prest Mike

Titolo

Definable additive categories : purity and model theory / / Mike Prest

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2010

©2010

ISBN

1-4704-0604-7

Descrizione fisica

1 online resource (109 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 987

Disciplina

512.62

Soggetti

Abelian categories

Model theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 210, number 987 (second of 4 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""