Definable additive categories : [electronic resource] purity and model theory / Mike Prest.
Material type:
TextSeries: Memoirs of the American Mathematical Society ; v. 987Publication details: Providence, R.I. : American Mathematical Society, 2011.Description: 1 online resource (v, 109 p. : ill.)ISBN: - 9781470406042 (online)
- 512/.62 22
- QA169 .P725 2011
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eBook
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e-Library | Available |
"Volume 210, number 987 (second of 4 numbers)."
Includes bibliographical references (p. 105-109).
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
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
Description based on print version record.