%0 Journal Article
%A Puente Muñoz, María Jesús de la
%T Specializations and a local homeomorphism theorem for real Riemann surfaces of rings
%D 1996
%@ 0030-8730
%U https://hdl.handle.net/20.500.14352/57073
%X Let phi : k --> A and f : A --> R be ring morphisms, R a real ring. We prove that if f : A --> R is etale, then the corresponding mapping between real Riemann surfaces S-r(f) : S-r(R/k) --> S-r(A/k) is a local homeomorphism. Several preparatory results are proved, as well. The most relevant among these are: (1) a Chevalley's theorem for real Riemann surfaces on the preservation of constructibility via S-r(f), and (2) an analysis of the closure operator on real Riemann surfaces. Constructible sets are dealt with by means of a suitable first-order language.
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