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$% I. Bonnard-Doré, Prolongements en fonctions algébriquement constructibles,
Rev. Mat. Complut. 17 (2004), 471–483.%$
Prolongements en fonctions algébriquement constructibles
In this paper we consider the following question: Let be a semialgebraic subset of a real algebraic set , and let be a function on . Is the restriction of an algebraically constructible function on , i.e., a sum of signs of polynomials on ? We give an effective method to answer this question when or or is basic.
Key words: semialgebraic sets, algebraically constructible functions, quadratic forms.
2000 Mathematics Subject Classification: 14P10.