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It is known that if  E  is a    $$C^{\infty }$$    C  ∞      determining set, then  E  is a Markov set if and only if it has Bernstein’s property. This article provides the equivalent of this result for compact subsets of some algebraic varieties.

Markov’s Inequality and $$C^{\infty }$$ Functions on Certain Algebraic Hypersurfaces