A generalization of the Tarski-Seidenberg theorem, and some nondefinability results

@article{Dries1986AGO,
  title={A generalization of the Tarski-Seidenberg theorem, and some nondefinability results},
  author={L. Dries},
  journal={Bulletin of the American Mathematical Society},
  year={1986},
  volume={15},
  pages={189-193}
}
  • L. Dries
  • Published 1986
  • Mathematics
  • Bulletin of the American Mathematical Society
This article points out some remarkable facts implicit in the results of Lojasiewicz [LI] and Gabrielov [Ga]. An important consequence of Tarski's work [T] on the elementary theory of the reals is a characterization of the sets which are elementarily definable from addition and multiplication on R. Allowing arbitrary reals as constants, this characterization consists of the identification of the definable sets with the semialgebraic sets. (A semialgebraic subset of R is by definition a finite… Expand
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Publisher Summary This chapter discusses Tarski's problem and presents Pfaffian functions. Tarski's theorem establishes a link between the algebraic–analytic structure of the real field and itsExpand
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Publisher Summary The chapter presents the elementary theory of the structure (R , + , .), and the results could be extended to the structure (R, +, ., exp). Some aspects of on (R , + , .) areExpand
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© Scuola Normale Superiore, Pisa, 1964, tous droits réservés. L’accès aux archives de la revue « Annali della Scuola Normale Superiore di Pisa, Classe di Scienze »Expand
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