Existence of well-filterifications of \(T_0\) topological spaces

DOI10.1016/j.topol.2019.107044zbMath1485.54015arXiv1906.10832OpenAlexW2996582244WikidataQ126560251 ScholiaQ126560251MaRDI QIDQ2291606

Dongsheng Zhao, Guohua Wu, Xiaoyong Xi, Xiao-Quan Xu

Publication date: 31 January 2020

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

Full work available at URL: https://arxiv.org/abs/1906.10832

zbMATH Keywords

Scott topologysober spacedirected complete poset\(K\)-fibration\(T_0\) spacesproduct of well-filtered spaceswell-filtered spaces

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Product spaces in general topology (54B10) Continuous lattices and posets, applications (06B35)

Related Items (6)

Non-reflective categories of some kinds of weakly sober spaces ⋮ Unnamed Item ⋮ Completing simple valuations in K-categories ⋮ Unnamed Item ⋮ Well-filterifications of topological spaces ⋮ The \(R\)-completion of closure spaces

Cites Work

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• Quasicontinuous domains and the Smyth powerdomain
• D-completions and the \(d\)-topology
• On \(d\)-spaces
• On well-filtered spaces and ordered sets
• Lim-inf convergence in partially ordered sets
• A note on coherence of dcpos
• Well-filtered spaces and their dcpo models
• Continuous Lattices and Domains
• Non-Hausdorff Topology and Domain Theory

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