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Bi-coloured fields on the complex numbers
Published online by Cambridge University Press: 12 March 2014
Abstract.
We consider two theories of “bad fields” constructed by B.Poizat using Hrushovski's amalgamation and show that these theories have natural models representable as the field of complex numbers with a distinguished subset given as a union of countably many real analytic curves. One of the two examples is based on the complex exponentiation and the proof assumes Schanuel's conjecture.
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- Research Article
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- Copyright © Association for Symbolic Logic 2004
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