A novel framework for lim-inf convergence in posets

DOI10.1007/S10114-022-0651-3OpenAlexW4213309207MaRDI QIDQ2671555

Bin Zhao, Jing Lu

Publication date: 3 June 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-0651-3

zbMATH Keywords

lim-inf convergenceclosure opeartorenr-convergenceenriched continuous space

Mathematics Subject Classification ID

Continuous lattices and posets, applications (06B35) Lattices (06B99)

Cites Work

• Birkhoff's order-convergence in partially ordered sets.
• Order topology and bi-Scott topology on a poset
• A uniform approach to inductive posets and inductive closure
• Order-convergence and lim-inf \(\mathcal M\)-convergence in posets
• \(\mathcal{MN}\)-convergence and \(\lim\)-\(\inf_{\mathcal{M}}\)-convergence in partially ordered sets
• 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
• Generalization of Continuous Posets
• 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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