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Non-archimedean tame topology and stably dominated types

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 rea...

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Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Merton College
Role:
Author
ORCID:
0000-0002-2761-6513
Publisher:
Princeton University Press Publisher's website
Series:
Annals of Mathematics Studies
Series number:
192
Place of publication:
Princeton, NJ
Publication date:
2016-02-09
ISSN:
0066-2313
ISBN:
9780691161686
Language:
English
Pubs id:
648766
Local pid:
pubs:648766
Deposit date:
2020-11-14

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