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Given global semianalytic sets A and B, we define a minimal analytic set N such that A \ N and B \ N can be separated by an analytic function. Our statement is very similar to the one proved by Bröcker for semialgebraic sets. 2000 Mathematics Subject Classification: 03C64, 12D15.doi:10.4064/ap95-2-8 fatcat:hkwrmjh7mbarrfqfg4i6ioqpji