Geodesic
Separation of global semianalytic sets
Hamedou Diakite1
1 DER de Mathématiques et Informatiques Université de Bamako–FAST BP: E3206, Bamako, Mali
Annales Polonici Mathematici, Tome 95 (2009) no. 2, pp. 179-186.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Given global semianalytic sets $A$ and $B$, we define a minimal analytic set $N$ such that $\overline{A}\setminus N$ and $\overline{B}\setminus N$ can be separated by an analytic function. Our statement is very similar to the one proved by Bröcker for semialgebraic sets.
DOI : 10.4064/ap95-2-8
Keywords: given global semianalytic sets define minimal analytic set overline setminus overline setminus separated analytic function statement similar proved cker semialgebraic sets

Hamedou Diakite 1

1 DER de Mathématiques et Informatiques Université de Bamako–FAST BP: E3206, Bamako, Mali 
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Hamedou Diakite. Separation of global semianalytic sets. Annales Polonici Mathematici, Tome 95 (2009) no. 2, pp. 179-186. doi : 10.4064/ap95-2-8. http://geodesic.mathdoc.fr/articles/10.4064/ap95-2-8/

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