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  • 标题:An extension theorem for sober spaces and the Goldman topology
  • 本地全文:下载
  • 作者:Ezzeddine Bouacida ; Othman Echi ; Gabriel Picavet
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2003
  • 卷号:2003
  • DOI:10.1155/S0161171203212230
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
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