The $\alpha $-completion of a lattice ordered group

DOI10.21136/cmj.1983.101861zbMath0517.06014OpenAlexW2472670254MaRDI QIDQ3665168

Richard N. Ball, Gary Davis

Publication date: 1983

Full work available at URL: https://eudml.org/doc/13367

zbMATH Keywords

filterCauchy completenessvariety of l-groupsDedekind-MacNeille completealpha-completion of l-groupalpha-convergenceCauchy constructionorder closed convex Hausdorff convergence structure

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Complete lattices, completions (06B23) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Ordered groups (06F15)

Related Items (3)

Distinguished extensions of a lattice-ordered group ⋮ W. Charles Holland, 75th birthday ⋮ Special-valued \(\ell\)-groups

Cites Work

• Unnamed Item
• Topological lattice ordered groups
• Some considerations on convergence in abelian lattice-groups
• Closed subgroups and complete distributivity in lattice-ordered groups
• Convergence and Cauchy Structures on Lattice Ordered Groups
• Complete distributivity and $\alpha $-convergence

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