منابع مشابه
On the Betti Numbers of Sign Conditions
Let R be a real closed field and let Q and P be finite subsets of R[X1, . . . , Xk] such that the set P has s elements, the algebraic set Z defined by ∧ Q∈Q Q = 0 has dimension k ′ and the elements of Q and P have degree at most d. For each 0 ≤ i ≤ k′, we denote the sum of the i-th Betti numbers over the realizations of all sign conditions of P on Z by bi(P,Q). We prove that
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2004
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-04-07629-4