\textit{SI}-convergence in \(T_0\) spaces

DOI10.1016/j.topol.2020.107529zbMath1473.54022OpenAlexW3112613513MaRDI QIDQ820681

Jing Lu, Bin Zhao

Publication date: 27 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107529

zbMATH Keywords

\( I^\ast \)-continuous space\( T_0\) space\textit{SI}-convergence\textit{SI}-topology

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) Topological lattices (06B30)

Cites Work

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• On topologies defined by irreducible sets
• Order topology and bi-Scott topology on a poset
• Order-convergence and lim-inf \(\mathcal M\)-convergence in posets
• Order convergence and order topology on a poset
• Some further results on order-convergence in posets
• Irreducible convergence in \(T_0\) spaces
• \(o_{2}\)-convergence in posets
• Lim-inf convergence in partially ordered sets
• On Order-Convergence
• Characterization of posets for order-convergence being topological
• Continuous Lattices and Domains
• Non-Hausdorff Topology and Domain Theory
• A new convergence inducing the SI-topology
• A Comparison of Two Modes of Order Convergence
• Order-Preserving Maps and Integration Processes. (AM-31)