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Separation of global semianalytic sets

Hamedou Diakite — 2009

Annales Polonici Mathematici

Given global semianalytic sets A and B, we define a minimal analytic set N such that Ā∖N and B̅∖N can be separated by an analytic function. Our statement is very similar to the one proved by Bröcker for semialgebraic sets.

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