A direct characterization of the monotone convergence space completion

DOI10.1016/J.TOPOL.2017.08.008zbMath1421.54008OpenAlexW2747100139MaRDI QIDQ2405062

Zhongxi Zhang, Qing-Guo Li

Publication date: 21 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.08.008

zbMATH Keywords

lower Vietoris topology\(D\)-completionmonotone convergence spacetapered set

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (10)

Some open problems on well-filtered spaces and sober spaces ⋮ Non-reflective categories of some kinds of weakly sober spaces ⋮ On quasi-metrizable \(d\)-spaces ⋮ On fuzzy monotone convergence \(\mathcal{Q}\)-cotopological spaces ⋮ Topological representations of Lawson compact algebraic L-domains and Scott domains ⋮ On H-sober spaces and H-sobrifications of \(T_0\) spaces ⋮ \textbf{K}-reflections of product spaces ⋮ A direct approach to \(K\)-reflections of \(T_0\) spaces ⋮ The \(R\)-completion of closure spaces ⋮ A unified method for completions of posets and closure spaces

Cites Work

• Unnamed Item
• Dcpo-completion of posets
• D-completions and the \(d\)-topology
• On \(d\)-spaces
• Continuous Lattices and Domains

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