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A new dcpo whose Scott topology is well-filtered but not sober

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Publication:1632746
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DOI10.1016/j.topol.2018.11.015OpenAlexW2902489302WikidataQ128873160 ScholiaQ128873160MaRDI QIDQ1632746

Dongsheng Zhao, Xiaoyong Xi, Yi-Xiang Chen

Publication date: 17 December 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2018.11.015

zbMATH Keywords

sober spacecontinuous posetdcpowell-filtered spaceposet model of topological space


Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Continuous lattices and posets, applications (06B35) Topological lattices (06B30)


Related Items

Some open problems on well-filtered spaces and sober spaces, Some results on poset models consisting of compact saturated subsets, Unnamed Item



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Quasicontinuity of posets via Scott topology and sobrification
  • Dcpo-completion of posets
  • On non-Hausdorff spaces
  • On well-filtered spaces and ordered sets
  • Well-filtered spaces and their dcpo models
  • Completion of a Construction of Johnstone
  • Directed complete poset models of T1 spaces
  • Continuous Lattices and Domains
  • Non-Hausdorff Topology and Domain Theory
  • An upper power domain construction in terms of strongly compact sets
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