Thesis

### Model Theory of Holomorphic Functions

Abstract:

This thesis is concerned with a conjecture of Zilber: that the complex field expanded with the exponential function should be `quasi-minimal'; that is, all its definable subsets should be countable or have countable complement. Our purpose is to study the geometry of this structure and other expansions by holomorphic functions of the complex field without having first to settle any number-theoretic problems, by treating all countable sets on an equal footing. We present axioms, modelled on t...

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### Authors

Publication date:
2004
URN:
uuid:69f4995b-00ef-4c78-ae30-42ca4e3d2097
Local pid:
oai:eprints.maths.ox.ac.uk:105