RT Journal Article
T1 A note on projections of real algebraic varieties.
A1 Andradas Heranz, Carlos
A1 Gamboa Mutuberria, José Manuel
AB 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.
PB Pacific Journal of Mathematics
SN 0030-8730
YR 1984
FD 1984
LK https://hdl.handle.net/20.500.14352/64608
UL https://hdl.handle.net/20.500.14352/64608
LA eng
DS Docta Complutense
RD 7 abr 2026