Non-Archimedean Tame Topology and Stably Dominated Types (AM-192) /

Non-Archimedean Tame Topology and Stably Dominated Types (AM-192) / / François Loeser, Ehud Hrushovski.

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
Superior document:Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2016
VerfasserIn:
Hrushovski, Ehud,
Loeser, François,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©2016
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 192
Online Access:
Physical Description:1 online resource (232 p.)
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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. Γ-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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