Article

Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text
Advertising


Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    4 0 0 0


Comptes Rendus Mathématique
Volume 343, n° 1
pages 1-4 (juillet 2006)
Doi : 10.1016/j.crma.2006.05.011
Received : 6 January 2006 ;  accepted : 15 May 2006
Quasi-analyticité, o-minimalité et élimination des quantificateurs
Quasi-analyticity, o-minimality and quantifiers elimination
 

Alexandre Rambaud
Équipe de logique mathématique (CNRS - UMR 7056), UFR de mathématiques, université Denis-Diderot Paris 7, 2, place Jussieu, 75251 Paris cedex 05, France 

Résumé

Cette Note étudie selon le point de vue de la théorie des modèles certaines classes de fonctions réelles : les classes quasi-analytiques restreintes. Soit E une telle classe, on explicite un langage naturel   contenant E et une théorie T dans   tels que T admet lʼélimination des quantificateurs, est o-minimale et est équivalente à la théorie complète de   dans  . Pour citer cet article : A. Rambaud, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

The full text of this article is available in PDF format.
Abstract

In this article, we study using model theory certain classes of real functions: restricted quasi-analytic classes. Let E be such a class of functions, we introduce a natural language  , including E and a theory T in   such that T admits quantifiers elimination, is o-minimal and is equivalent to the complete theory of   in  . To cite this article: A. Rambaud, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

The full text of this article is available in PDF format.


© 2006  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Close
Article Outline
You can move this window by clicking on the headline
@@#110903@@