Order-convergence and lim-inf \(\mathcal M\)-convergence in posets

DOI10.1016/j.jmaa.2006.02.016zbMath1116.06007OpenAlexW1990366481MaRDI QIDQ854082

Bin Zhao, Yi-Hui Zhou

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.02.016

zbMATH Keywords

order convergence\(\mathcal M\)-continuous posetlim-inf convergence

Mathematics Subject Classification ID

Continuous lattices and posets, applications (06B35) Ordered topological structures (06F30)

Related Items (13)

\textit{SI}-convergence in \(T_0\) spaces ⋮ Scott convergence and fuzzy Scott topology on \(L\)-posets ⋮ Birkhoff's order-convergence in partially ordered sets. ⋮ A result for \(O_{2}\)-convergence to be topological in posets ⋮ I2-convergence in T0 spaces ⋮ The B-topology on \(S^{\ast}\)-doubly quasicontinuous posets ⋮ Irreducible convergence in \(T_0\) spaces ⋮ A novel framework for lim-inf convergence in posets ⋮ On a new convergence in topological spaces ⋮ Order topology and bi-Scott topology on a poset ⋮ \(\mathcal{MN}\)-convergence and \(\lim\)-\(\inf_{\mathcal{M}}\)-convergence in partially ordered sets ⋮ \(o_{2}\)-convergence in posets ⋮ Generalized continuous closure spaces. I: Meet preserving closure operations

Cites Work

• Lim-inf convergence in partially ordered sets
• Continuous Lattices and Domains
• Order-Preserving Maps and Integration Processes. (AM-31)
• Topology in Lattices
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