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Order convergence and order topology on a poset

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Publication:1805614
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DOI10.1023/A:1026690820346zbMath0931.54027OpenAlexW3962971MaRDI QIDQ1805614

Vladimír Olejček

Publication date: 18 November 1999

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026690820346


zbMATH Keywords

MacNeille completion


Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Ordered topological structures (06F30)


Related Items (9)

\textit{SI}-convergence in \(T_0\) spaces ⋮ 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 ⋮ Order topology and bi-Scott topology on a poset ⋮ \(\mathcal{MN}\)-convergence and \(\lim\)-\(\inf_{\mathcal{M}}\)-convergence in partially ordered sets







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