Truncated abelian lattice-ordered groups. II: The pointfree (Madden) representation

DOI10.1016/j.topol.2014.08.031zbMath1301.06040arXiv1406.7454OpenAlexW2964230721MaRDI QIDQ471447

Richard N. Ball

Publication date: 14 November 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7454

zbMATH Keywords

compact Hausdorff spacepolardivisible abelian lattice-ordered groupregular frame

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Frames, locales (06D22) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items

Unitization of ball truncated \({\ell}\)-groups ⋮ Truncated abelian lattice-ordered groups. I: The pointed (Yosida) representation ⋮ Extreme positive operators on topologically truncated Banach lattices ⋮ Embedding of a truncated vector lattice into its universal completion ⋮ Representation of strongly truncated Riesz spaces ⋮ Alexandroff unitization of a truncated vector lattice ⋮ Pointfree pointwise convergence, Baire functions, and epimorphisms in truncated Archimedean \(\ell\)-groups ⋮ A Johnson-Kist type representation for truncated vector lattices

Cites Work

• Truncated abelian lattice-ordered groups. I: The pointed (Yosida) representation
• On the localic Yosida representation of an archimedean lattice ordered group with weak order unit
• Epicomplete archimedean l-groups via a localic Yosida theorem
• An Indecomposable Daniell Integral
• On vector lattice with a unit, II
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