\(\mathcal{MN}\)-convergence and \(\lim\)-\(\inf_{\mathcal{M}}\)-convergence in partially ordered sets

DOI10.1515/MATH-2018-0090zbMath1410.54010OpenAlexW2890083966MaRDI QIDQ1738202

Nianbai Fan, Tao Sun, Qing-Guo Li

Publication date: 29 March 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0090

zbMATH Keywords

\(\lim\)-\(\inf_{\mathcal{M}}\)-convergence\(\mathcal{M}\)-topology\(\mathcal{MN}\)-convergence\(\mathcal{MN}\)-topology

Mathematics Subject Classification ID

Partial orders, general (06A06) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (1)

A novel framework for lim-inf convergence in posets

Cites Work

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• A result for \(O_{2}\)-convergence to be topological in posets
• 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
• A note on continuous partially ordered sets
• \(o_{2}\)-convergence in posets
• Lim-inf convergence in partially ordered sets
• On Order-Convergence
• Continuous Lattices and Domains
• A Comparison of Two Modes of Order Convergence
• Order-Preserving Maps and Integration Processes. (AM-31)
• Topology in Lattices

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