We prove that a definably complete expansion of a field cannot be the image of a definable discrete set under a definable function.
Definably complete structures are not pseudo-enumerable / Fornasiero, Antongiulio. - In: ARCHIVE FOR MATHEMATICAL LOGIC. - ISSN 0933-5846. - STAMPA. - 50:(2011), pp. 603-615. [10.1007/s00153-011-0235-x]
Definably complete structures are not pseudo-enumerable
Fornasiero, Antongiulio
2011
Abstract
We prove that a definably complete expansion of a field cannot be the image of a definable discrete set under a definable function.
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