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Model Theory of Analytic Functions: Some Historical Comments

Published online by Cambridge University Press:  15 January 2014

Deirdre Haskell
Deirdre Haskell*
Affiliation:
Department of Mathematics and Statistics, Mcmaster University, Hamilton, ON L8S 4K1, Canada E-mail: haskell@math.mcmaster.ca
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Abstract

Model theorists have been studying analytic functions since the late 1970s. Highlights include the seminal work of Denef and van den Dries on the theory of the p-adics with restricted analytic functions, Wilkie's proof of o-minimality of the theory of the reals with the exponential function, and the formulation of Zilber's conjecture for the complex exponential. My goal in this talk is to survey these main developments and to reflect on today's open problems, in particular for theories of valued fields.

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Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 18 , Issue 3 , September 2012 , pp. 368 - 381
Copyright
Copyright © Association for Symbolic Logic 2012

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