Non-archimedean tame topology and stably dominated types

Non-archimedean tame topology and stably dominated types / Ehud Hrushovski, François Loeser.

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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Bibliographic Details
Main Authors: Hrushovski, Ehud, 1959- (Author), Loeser, François (Author)
Format: eBook
Language:English
Published: Princeton : Princeton University Press, 2016.
Series:Annals of mathematics studies ; no. 192.
Subjects:
Tame algebras.
MATHEMATICS > Algebra > Intermediate.
MATHEMATICS > Topology.
Tame algebras
Online Access:Click for online access
Table of Contents:
  • 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.

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