Ehud Hrushovski

(Author)

Non-Archimedean Tame Topology and Stably Dominated Types (Am-192)Paperback, 9 February 2016

Non-Archimedean Tame Topology and Stably Dominated Types (Am-192)
Qty
1
Turbo
Ships in 2 - 3 days
In Stock
Free Delivery
Cash on Delivery
15 Days
Free Returns
Secure Checkout
Buy More, Save More
Part of Series
Annals of Mathematics Studies
Part of Series
Annals of Mathematics Studies (Paperback)
Part of Series
Annals of Mathematics Studies, 192
Print Length
232 pages
Language
English
Publisher
Princeton University Press
Date Published
9 Feb 2016
ISBN-10
0691161690
ISBN-13
9780691161693

Description

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 foundations for non-archimedean geometry. The methods combine o-minimality and stability theory. Definable types play a central role, serving first to define the notion of a point and then properties such as definable compactness.

Beyond the foundations, the main theorem constructs a deformation retraction from the full non-archimedean space of an algebraic variety to a rational polytope. This generalizes previous results of V. Berkovich, who used resolution of singularities methods.

No previous knowledge of non-archimedean geometry is assumed. Model-theoretic prerequisites are reviewed in the first sections.

Product Details

Authors:
Ehud HrushovskiFrançois Loeser
Book Format:
Paperback
Country of Origin:
US
Date Published:
9 February 2016
Dimensions:
25.15 x 17.78 x 1.52 cm
ISBN-10:
0691161690
ISBN-13:
9780691161693
Language:
English
Location:
Princeton
Pages:
232
Weight:
408.23 gm

Related Categories


Need Help?
+971 6 731 0280
support@gzb.ae

About UsContact UsPayment MethodsFAQsShipping PolicyRefund and ReturnTerms of UsePrivacy PolicyCookie Notice

VisaMastercardCash on Delivery

© 2024 White Lion General Trading LLC. All rights reserved.