A study of convergences in partially ordered sets

DOI10.1016/j.topol.2019.106994zbMath1457.54004OpenAlexW2996490044WikidataQ126584739 ScholiaQ126584739MaRDI QIDQ1985617

F. Sereti, G. A. Prinos, Athanasios Megaritis, Dimitris Georgiou, Inderasan Naidoo

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.topol.2019.106994

zbMATH Keywords

ideal-\(o_2\)-convergenceideal-\(o_2\)-topologyideal-lim-inf-convergenceideal-lim-inf-topology

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Algebraic aspects of posets (06A11)

Cites Work

• A result for \(O_{2}\)-convergence to be topological in posets
• On statistical exhaustiveness
• Ideal-convergence classes
• Statistical convergence in function spaces
• Statistical convergence in topology
• A study on convergence and ideal convergence classes
• \(o_{2}\)-convergence in posets
• \(I\) and \(I^*\)-convergence of nets
• Lim-inf convergence in partially ordered sets
• $I$ and $I^*$-convergence in topological spaces
• On Order-Convergence
• Continuous Lattices and Domains
• A Comparison of Two Modes of Order Convergence
• Lattices
• Order-Preserving Maps and Integration Processes. (AM-31)
• Topology in Lattices
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