Ruiz Sancho, Jesús María2023-06-212023-06-211986S. S. Abhyankar and M. van der Put, Homomorphisms of analytic local rings, J. Reine Angew Math., 242 (1970), 27-33. D. W. Dubois and T. Recio, Order extensions and real algebraic geometry, in Amer. Math. Soc. Contemporary Math., 8 (1981). J. M. Gamboa, A characterization of rational and elliptic curves in terms of their space of orderings, Rocky Mountain J. Math., 14 (1984), 499-502. J. M. Gamboa and T. Recio, Ordered fields with the dense orbits property, J. Pure Appl. Algebra, 30 (1983), 237-246. J. M. Ruiz, Central orderings in fields of meromorphic function germs, Manuscripta Math., 46 (1984), 193-214. J. M. Ruiz, A note on a separation problem, Arch. Math., 43 (1984), 422-426.0030-8730https://hdl.handle.net/20.500.14352/64777Let K be a formally real field and Ω its order space. The automorphisms group of K acts on Ω, and K is called D.O.P. when all the orbits are dense in Ω. In this note the following is shown: The field of meromorphic function germs of a real irreducible analytic germ of dimension > 1 is never D.O.Pengjournal articlehttp://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.pjm/1102702808&page=recordhttp://projecteuclid.orgrestricted access512.7515.17Dense orbits propertyformally real fieldorder spacegerms of meromorphic functionsreal irreducible analytic germorderingsseparation of semianalytic subgermsGeometria algebraica1201.01 Geometría Algebraica