semianalytic set

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Semialgebraic set — In mathematics, a semialgebraic set is a subset S of real n dimensional space defined by a finite sequence of polynomial equations and inequalities; or any finite union of such sets. Such sets are studied as an extension of real algebraic… … Wikipedia
Stanisław Łojasiewicz — (born October 9 1926 in Warsaw November 14, 2002) was a Polish mathematician.At the end of the 1950s, he solved the problem of distribution division by analytic functions. Its solution opened the road to important results in the new theory of… … Wikipedia

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