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

Ehud Hrushovski and François Loeser

Abstract

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 ... More

Keywords: real numbers, analytic geometry, algebraic geometry, model theory, o-minimality, stability theory, non-archimedean geometry

Bibliographic Information

Print publication date: 2016 Print ISBN-13: 9780691161686
Published to Princeton Scholarship Online: October 2017 DOI:10.23943/princeton/9780691161686.001.0001

Authors

Affiliations are at time of print publication.

Ehud Hrushovski, author
Hebrew University of Jerusalem

François Loeser, author
Pierre et Marie Curie Universite