Chapter 1. Introduction ........................................ 1
Chapter 2. Preadditive and additive categories ................. 5
Chapter 3. Preadditive categories and their ind-completions .... 9
Chapter 4. The free abelian category of a preadditive
category ........................................... 15
Chapter 5. Purity ............................................. 21
Chapter 6. Locally coherent categories ........................ 29
Chapter 7. Localisation ....................................... 31
Chapter 8. Serre subcategories of the functor category ........ 33
Chapter 9. Conjugate and dual categories ...................... 37
Chapter 10. Definable subcategories ............................ 39
Chapter 11. Exactly definable categories ....................... 43
Chapter 12. Recovering the definable structure ................. 47
Chapter 13. Functors between definable categories .............. 53
Chapter 14. Spectra of definable categories .................... 57
Chapter 15. Definable functors and spectra ..................... 59
Chapter 16. Triangulated categories ............................ 63
Chapter 17. Some open questions ................................ 65
Chapter 18. Model theory in finitely accessible categories ..... 67
Chapter 19. pp-Elimination of quantifiers ...................... 73
Chapter 20. Ultraproducts ...................................... 75
Chapter 21. Pure-injectives and elementary equivalence ......... 77
Chapter 22. Imaginaries and finitely presented functors ........ 83
Chapter 23. Elementary duality ................................. 87
Chapter 24. Hulls of types and irreducible types ............... 89
Chapter 25. Interpretation functors ............................ 91
Chapter 26. Stability .......................................... 99
Chapter 27. Ranks ............................................. 101
Bibliography .................................................. 105
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