Gamboa Mutuberria, José Manuel2023-06-212023-06-2119841405-213Xhttps://hdl.handle.net/20.500.14352/64705The author studies the size of the set of hyperplanes which meet a non- zero-dimensional algebraic set V over a real-closed ground field R. More precisely, let us denote by $V\sb c$ the locus of central points of V, i.e., the closure, in the order topology of $R\sp n$, of the set of regular points of V. The author proves the following: There exists a linear isomorphism $\sigma$ of $R\sp n$ such that for every ``generic'' hyperplane H of $R\sp n$, either H meets $V\sb c$ or its transform by $\sigma$ meets $V\sb c$.journal articlemetadata only access512Real ground fieldsÁlgebra1201 Álgebra