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Recall that a subset of Rn is called semi-algebraic if it can be represented as a (finite) boolean combination of sets of the form α ∈ R n: p (α) = 0, α ∈ R n: q (α) 0 where p (x), q (x) aren-variable polynomials with real coefficients. A map from R n to R m is called semi-algebraic if its graph, considered
Andrew O.M. Wilkie (Mon,) studied this question.
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