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Scott topology on Smyth power posets

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Publication:6149955
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DOI10.1017/s0960129523000257OpenAlexW4385361061MaRDI QIDQ6149955

Xinpeng Wen, Xiao-Quan Xu, Xiaoyong Xi

Publication date: 5 March 2024

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

Full work available at URL: https://doi.org/10.1017/s0960129523000257


zbMATH Keywords

Scott topologylocal compactnesssobrietySmyth power spacefirst-countabilitySmyth power posetwell-filteredness


Mathematics Subject Classification ID

Computer science (68-XX)




Cites Work

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  • On topologies defined by irreducible sets
  • Power domains
  • Core-compactness, consonance and the Smyth powerspaces
  • Infinite distributive laws versus local connectedness and compactness properties
  • Weak well-filtered spaces and coherence
  • On two problems about sobriety of topological spaces
  • QRB-Domains and the Probabilistic Powerdomain
  • A Powerdomain Construction
  • The Spectral Theory of Distributive Continuous Lattices
  • 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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