Hrushovski / Loeser Non-Archimedean Tame Topology and Stably Dominated Types

1. Auflage 2016
ISBN: 978-1-4008-8122-2
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 192, 232 Seiten

Reihe: Annals of Mathematics Studies

No detailed description available for "Non-Archimedean Tame Topology and Stably Dominated Types".

Autoren/Hrsg.

Hrushovski, Ehud

Loeser, François

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Analytische Geometrie
• Mathematik | Informatik Mathematik Topologie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

Frontmatter, pg. i

Contents, pg. v
1. Introduction, pg. 1
2. Preliminaries, pg. 8
3. The space v^ of stably dominated types, pg. 37
4. Definable compactness, pg. 57
5. A closer look at the stable completion, pg. 70
6. G-internal spaces, pg. 76
7. Curves, pg. 92
8. Strongly stably dominated points, pg. 104
9. Specializations and ACV2F, pg. 119
10. Continuity of homotopies, pg. 142
11. The main theorem, pg. 154
12. The smooth case, pg. 177
13. An equivalence of categories, pg. 183
14. Applications to the topology of Berkovich spaces, pg. 187
Bibliography, pg. 207
Index, pg. 211
List of notations, pg. 215

Über Autor(innen)

Ehud Hrushovski is professor of mathematics at the Hebrew University of Jerusalem. He is the coauthor of Finite Structures with Few Types (Princeton) and Stable Domination and Independence in Algebraically Closed Valued Fields. François Loeser is professor of mathematics at Pierre-and-Marie-Curie University in Paris.