On some global semianalytic sets
[Sur certains ensembles semianalytiques globaux]
Elkhadiri, Abdelhafed1
1 Department of Mathematics Faculty of Sciences University Ibn Tofail B.P. 133, Kénitra, Morocco
Annales de l'Institut Fourier, Tome 63 (2013) no. 5, pp. 1771-1791.

On donne quelques structures n’ayant pas l’élimination des quantificateurs, mais dans lesquelles l’adhérence, et donc l’intérieur et le bord, d’un ensemble défini sans quantificateur est encore un ensemble défini sans quantificateur.

We give some structures without quantifier elimination but in which the closure, and hence the interior and the boundary, of a quantifier free definable set is also a quantifier free definable set.

DOI : 10.5802/aif.2814
Classification : 03C10, 32B20
Keywords: Quantifiers elimination - semi-analytic sets - semi-algebraic sets.
Mot clés : Ensembles semianalytiques - Ensembles semialgébriques - Elimination des quantificateurs.
Elkhadiri, Abdelhafed 1

1 Department of Mathematics Faculty of Sciences University Ibn Tofail B.P. 133, Kénitra, Morocco 
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Elkhadiri, Abdelhafed. On some global semianalytic sets. Annales de l'Institut Fourier, Tome 63 (2013) no. 5, pp. 1771-1791. doi : 10.5802/aif.2814. http://www.numdam.org/articles/10.5802/aif.2814/

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