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Definable additive categories : purity and model theory /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Prest, Mike
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2011.
Colección:Memoirs of the American Mathematical Society ; no. 987.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Machine generated contents note: ch. 1 Introduction
  • ch. 2 Preadditive and additive categories
  • ch. 3 Preadditive categories and their ind-completions
  • ch. 4 The free abelian category of a preadditive category
  • ch. 5 Purity
  • ch. 6 Locally coherent categories
  • ch. 7 Localisation
  • ch. 8 Serre subcategories of the functor category
  • ch. 9 Conjugate and dual categories
  • ch. 10 Definable subcategories
  • ch. 11 Exactly definable categories
  • ch. 12 Recovering the definable structure
  • ch. 13 Functors between definable categories
  • ch. 14 Spectra of definable categories
  • ch. 15 Definable functors and spectra
  • ch. 16 Triangulated categories
  • ch. 17 Some open questions
  • ch. 18 Model theory in finitely accessible categories
  • ch. 19 pp-Elimination of quantifiers
  • ch. 20 Ultraproducts
  • ch. 21 Pure-injectives and elementary equivalence
  • ch. 22 Imaginaries and finitely presented functors
  • ch. 23 Elementary duality
  • ch. 24 Hulls of types and irreducible types
  • ch. 25 Interpretation functors
  • ch. 26 Stability
  • ch. 27 Ranks.