Gabrielov's theorem and log-exp-algebraic functions;Théorème de Gabrielov et fonctions long-exp-algébriques

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 324, Issue 9, 1997, Pages 1027-1030

  Lion, Jean Marie ^a   Rolin, Jean Philippe ^a  

^a UNIVERSITÉ DE BOURGOGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031138983     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)87880-9     Document Type: Article

References (12)

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4. [4] Benedetti R. et Risler J.-J., 1990. Real algebraic and semi-algebraic sets, Hermann, Paris.
5. [5] Gabrielov A. M., 1996. Complements of subanalytic sets and existential formulas for analytic functions, Invent. Math., 125, p. 1-12.
6. [6] Khovanskii A. G., 1984. Real analytic varieties with finitness property and complex abelian integrals, Funct. Anal, and Appl., 18, p. 119-127.
7. [7] Wilkie A., 1996. Model completeness results for expansions of real field II : The exponential function, J. Amer. Math. Soc.
8. [8] van den dries L., Macintyre A. et Marker D., 1994. The elementary theory of restricted analytic fields with exponentiation, Ann. of Maths, 140,p. 183-205.
9. [9] Miller C., 1994. Expansions of the real field with power functions, Ann. Pure Appl. Logic, 68.
10. [10] Lion J.-M. et Rolin J.-P. Théorème de préparation pour les fonctions logarithmico-exponentielles, à paraître aux Annales de l'Institut Fourier.
11. [11] Parusinski A., 1994. Lipschitz stratification of subanalytic sets, Ann. École Norm. Sup., 27, p. 661-696.
12. [12] Lojasiewicz S., 1964. Triangulation of semi-analytic sets, Ann. Scuola Norm. Sup. Pisa 18 (3), p. 449-474.