In this paper we consider the problem of separating by a polynomial function two open disjoint semi-algebraic subsets A and B of a real affine variety M under the assumption that the subsets are already polynomially separated up to a proper algebraic subset. First of all some elementary results in small dimensions are given. When M is non-singular, a hypothesis on the behaviour of the boundaries of A and B is sufficient to obtain the separation. The problem is also analysed if M is singular, and some positive results are obtained in the compact case.
Autori interni: | ||
Autori: | FORTUNA E; GALBIATI M | |
Titolo: | Separation de semi-algebriques | |
Anno del prodotto: | 1989 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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