Characterization of \(T_0\) spaces for liminf convergence being topological

DOI10.1016/j.topol.2022.108268OpenAlexW4300981328MaRDI QIDQ2104988

Yanyan Li

Publication date: 8 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108268

zbMATH Keywords

C-spaceliminf convergence\(\mathcal{S}\)-convergenceWC-space

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Continuous lattices and posets, applications (06B35)

Cites Work

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• Quasicontinuity of posets via Scott topology and sobrification
• The bounded-complete hull of an \(\alpha\)-space
• Characterization of posets for liminf convergence being topological
• Infinite distributive laws versus local connectedness and compactness properties
• Lim-inf convergence in partially ordered sets
• Continuous Lattices and Domains
• Non-Hausdorff Topology and Domain Theory
• M-SCOTT CONVERGENCE AND M-SCOTT TOPOLOGY ON POSETS

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