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Hofmann-Mislove type definitions of non-Hausdorff spaces

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Publication:5055491
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DOI10.1017/S0960129522000196MaRDI QIDQ5055491

Dongsheng Zhao, Xiaoyong Xi, Chong Shen, Xiao-Quan Xu

Publication date: 9 December 2022

Published in: Mathematical Structures in Computer Science (Search for Journal in Brave)


zbMATH Keywords

sober space\(d\)-spacewell-filtered spaceHofmann-Mislove theorem\(\Psi\)-well-filtered space\(H\)-sober


Mathematics Subject Classification ID

Computer science (68-XX)





Cites Work

  • D-completions and the \(d\)-topology
  • Well-filterifications of topological spaces
  • First countability, \( \omega \)-well-filtered spaces and reflections
  • On \(T_0\) spaces determined by well-filtered spaces
  • On H-sober spaces and H-sobrifications of \(T_0\) spaces
  • On well-filtered reflections of \(T_0\) spaces
  • Infinite distributive laws versus local connectedness and compactness properties
  • Continuous Lattices and Domains
  • Non-Hausdorff Topology and Domain Theory
  • A unified approach to some non-Hausdorff topological properties
  • A complete Heyting algebra whose Scott space is non-sober
  • An upper power domain construction in terms of strongly compact sets
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