%0 Journal Article
%A Andradas Heranz, Carlos
%A Gamboa Mutuberria, José Manuel
%T A note on projections of real algebraic varieties.
%D 1984
%@ 0030-8730
%U https://hdl.handle.net/20.500.14352/64608
%X We prove that any regularly closed semialgebraic set of R", where R is any real closed field and regularly closed means that it is the closure of its interior, is the projection under a finite map of an irreducible algebraic variety in some Rn + k. We apply this result to show that any clopen subset of the space of orders of the field of rational functions K= R(X1,...iXn) is the image of the space of orders of a finite extension of K.
%~