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  • 标题:On open well-filtered spaces
  • 本地全文:下载
  • 作者:Zhao, Dongsheng ; Xu, Xiaoquan ; Xi, Xiaoyong
  • 期刊名称:Logical Methods in Computer Science
  • 印刷版ISSN:1860-5974
  • 电子版ISSN:1860-5974
  • 出版年度:2020
  • 卷号:16
  • 期号:4
  • 页码:1-10
  • 语种:English
  • 出版社:Technical University of Braunschweig
  • 摘要:We introduce and study a new class of T0 spaces, called open well-filtered spaces. The main results we proved include (1) every well-filtered space is an open well-filtered space; (2) every core-compact open well-filtered space is sober. As an immediate corollary, we deduce that every core-compact well-filtered space is sober. This provides another different and relatively more straight forward method to answer the open problem posed by Jia and Jung: Is every core-compact well-filtered space sober?
  • 关键词:Mathematics ; General Topology
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