Separation of global semianalytic sets

Volume 95 / 2009

Hamedou Diakite Annales Polonici Mathematici 95 (2009), 179-186 MSC: 03C64, 12D15. DOI: 10.4064/ap95-2-8


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.


  • Hamedou DiakiteDER de Mathématiques et Informatiques
    Université de Bamako–FAST
    BP: E3206, Bamako, Mali

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