Generalized continuous closure spaces. I: Meet preserving closure operations

DOI10.1016/j.topol.2019.106981zbMath1477.06019OpenAlexW2994835914WikidataQ126530712 ScholiaQ126530712MaRDI QIDQ2310791

Marcel Erné

Publication date: 6 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.2019.106981

zbMATH Keywords

convergencenucleusmeetidealScott topologycutclosurecontinuous closure spaceweb space

Mathematics Subject Classification ID

Compactness (54D30) Frames, locales (06D22) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Continuous lattices and posets, applications (06B35) Local compactness, (sigma)-compactness (54D45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(\sigma_1\)-topology and \(\lambda_1\)-topology on \(s_1\)-quasicontinuous posets.
• Limesräume
• Order-convergence and lim-inf \(\mathcal M\)-convergence in posets
• On the existence of decompositions in lattices
• Order convergence in lattices
• \({\mathcal Z}\)-continuous posets and their topological manifestation
• Strongly semicontinuous lattices
• \(s_2\)-quasicontinuous posets.
• Infinite distributive laws versus local connectedness and compactness properties
• Convergence Foundations of Topology
• Frames and Locales
• Web spaces and worldwide web spaces: topological aspects of domain theory
• Generalization of Continuous Posets
• Continuous Lattices and Domains
• Non-Hausdorff Topology and Domain Theory
• M-SCOTT CONVERGENCE AND M-SCOTT TOPOLOGY ON POSETS
• Minimal Convergence Spaces
• Convergence functions and their related topologies
• Ideals in Partially Ordered Sets
• Limesräume und Komplettierung