Browsing by Autor "Jonathan Kirby"

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    The algebraic numbers definable in various exponential fields
    (Cambridge University Press, 2012) Jonathan Kirby; Angus Macintyre; Alf Onshuus
    Abstract We prove the following theorems. Theorem 1: for any E-field with cyclic kernel, in particular ℂ or the Zilber fields, all real abelian algebraic numbers are pointwise definable. Theorem 2: for the Zilber fields, the only pointwise definable algebraic numbers are the real abelian numbers.