%0 Journal Article
%T An extension theorem for sober spaces and the Goldman topology
%A Ezzeddine Bouacida
%A Othman Echi
%A Gabriel Picavet
%A Ezzeddine Salhi
%J International Journal of Mathematics and Mathematical Sciences
%D 2003
%I Hindawi Publishing Corporation
%R 10.1155/s0161171203212230
%X Goldman points of a topological space are defined in order to extend the notion of prime G-ideals of a ring. We associate to any topological space a new topology called Goldman topology. For sober spaces, we prove an extension theorem of continuous maps. As an application, we give a topological characterization of the Jacobson subspace of the spectrum of a commutative ring. Many examples are provided to illustrate the theory.
%U http://www.hindawi.com/journals/ijmms/2003/592608/abs/