Bulletin of Symbolic Logic

Model theory of analytic functions: some historical comments

Deirdre Haskell

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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.

Article information

Source
Bull. Symbolic Logic Volume 18, Issue 3 (2012), 368-381.

Dates
First available in Project Euclid: 13 August 2012

Permanent link to this document
http://projecteuclid.org/euclid.bsl/1344861887

Digital Object Identifier
doi:10.2178/bsl/1344861887

Zentralblatt MATH identifier
06083932

Mathematical Reviews number (MathSciNet)
MR2987521

Citation

Haskell, Deirdre. Model theory of analytic functions: some historical comments. Bull. Symbolic Logic 18 (2012), no. 3, 368--381. doi:10.2178/bsl/1344861887. http://projecteuclid.org/euclid.bsl/1344861887.


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