%0 Journal Article
%A Gamboa Mutuberria, José Manuel
%A Recio, Tomás
%T Ordered Fields With The Dense Orbits Property
%D 1983
%@ 0022-4049
%U https://hdl.handle.net/20.500.14352/64632
%X For a formally real field K let X(K) be the space of orderings. The automorphism group Aut(K) of K operates on X(K). K is said to have the ’dense orbits property’ (DOP) if for all 2 X(K) the orbit of is dense in X(K). The study of such fields, which was begun in D. W. Dubois and the second author [Contemp. Math. 8, 265-288 (1982; Zbl 0484.12003)], is continued here. The main question considered is the behavior of the DOP under purely transcendental and under algebraic field extensions.
%~