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Non-Archimedean Tame Topology and Stably Dominated Types (AM-192)
Ehud Hrushovski
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Description for Non-Archimedean Tame Topology and Stably Dominated Types (AM-192)
Paperback. Series: Annals of Mathematics Studies. Num Pages: 232 pages. BIC Classification: PBMS; PBMW; PBP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 254 x 178. .
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 statements and new structural tools. For non-archimedean fields, such as the p-adics, the Berkovich analytification provides a connected topology with many thoroughgoing analogies to the real topology on the set of complex points, and it has become an important tool in algebraic dynamics and many other areas of geometry. This book lays down model-theoretic ... Read more
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 statements and new structural tools. For non-archimedean fields, such as the p-adics, the Berkovich analytification provides a connected topology with many thoroughgoing analogies to the real topology on the set of complex points, and it has become an important tool in algebraic dynamics and many other areas of geometry. This book lays down model-theoretic ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Princeton University Press United States
Number of pages
232
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
232
Place of Publication
New Jersey, United States
ISBN
9780691161693
SKU
V9780691161693
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Ehud Hrushovski
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. Francois Loeser is professor of mathematics at Pierre-and-Marie-Curie University in Paris.
Reviews for Non-Archimedean Tame Topology and Stably Dominated Types (AM-192)
"A major achievement, both in rigid algebraic geometry, and as an application of model-theoretic and stability-theoretic methods to algebraic geometry."
-Anand Pillay, MathSciNet
-Anand Pillay, MathSciNet