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International Conference and Workshop on Valuation Theory
July 26 - August 11, 1999
University of Saskatchewan
Saskatoon, SK, Canada

Organizers
Franz-Viktor Kuhlmann, Salma Kuhlmann, Murray Marshall, Deirdre Haskell, Hans Schoutens

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Valuation theory of polynomially bounded o-minimal structures
by
Patrick Speissegger
University of Toronto
Coauthors: Chris Miller

I will review the main valuation theoretic facts known about polynomially bounded o-minimal structures: the "Wilkie Inequality" and the "Valuation Property". In joint work with Chris Miller, we show that, when combined with recent results about the Pfaffian closure of an o-minimal structure, they can be used to show that all presently known o-minimal structures are exponentially bounded and levelled.

Date received: April 29, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacv-34.