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Non-archimedean tame topology and stably dominated types /

Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights. In recent decades, model theory has joined this work through the theory of o-minimality, providing finiteness and uniformity stat...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Hrushovski, Ehud, 1959- (Autor), Loeser, François (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2016.
Colección:Annals of mathematics studies ; no. 192.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • 1. Introduction
  • 2. Preliminaries
  • 3. The space v̂ of stably dominated types
  • 4. Definable compactness
  • 5. A closer look at the stable completion
  • 6. [Gamma]-internal spaces
  • 7. Curves
  • 8. Strongly stably dominated points
  • 9. Specializations and ACV2F
  • 10. Continuity of homotopies
  • 11. The main theorem
  • 12. The smooth case
  • 13. An equivalence of categories
  • 14. Applications to the topology of Berkovich spaces
  • Bibliography
  • Index
  • List of notations.