An extension theorem for sober spaces and the Goldman topology

Ezzeddine Bouacida, Othman Echi, Gabriel Picavet and Ezzeddine Salhi

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-23

Abstract:

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:592608

DOI: 10.1155/S0161171203212230

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