Truncated abelian lattice-ordered groups. I: The pointed (Yosida) representation

DOI10.1016/J.TOPOL.2013.11.007zbMath1301.06039OpenAlexW2027470875MaRDI QIDQ388816

Richard N. Ball

Publication date: 7 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2013.11.007

zbMATH Keywords

compact Hausdorff space\(\ell\)-groupdivisible abelian lattice-ordered groupspolar

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Real-valued functions in general topology (54C30) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Topological representations of algebraic systems (54H10)

Related Items (15)

Truncations of ordered abelian groups ⋮ Unitization of ball truncated \({\ell}\)-groups ⋮ Extreme positive operators on topologically truncated Banach lattices ⋮ Lattice norms on the unitization of a truncated normed Riesz space ⋮ Embedding of a truncated vector lattice into its universal completion ⋮ Representation of strongly truncated Riesz spaces ⋮ Evaluating characterizations of truncation homomorphisms on truncated vector lattices of functions ⋮ Truncated abelian lattice-ordered groups. II: The pointfree (Madden) representation ⋮ Unitization of a lattice ordered ring with a truncation ⋮ Alexandroff unitization of a truncated vector lattice ⋮ Pointfree pointwise convergence, Baire functions, and epimorphisms in truncated Archimedean \(\ell\)-groups ⋮ Operations that preserve integrability, and truncated Riesz spaces ⋮ Some unusual epicomplete Archimedean lattice-ordered groups ⋮ A Johnson-Kist type representation for truncated vector lattices ⋮ A topology on lattice-ordered groups

Cites Work

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• Truncated abelian lattice-ordered groups. II: The pointfree (Madden) representation
• On the localic Yosida representation of an archimedean lattice ordered group with weak order unit
• A theorem and a question about epicomplete Archimedean lattice-ordered groups
• A representation theorem revisited
• Epicomplete archimedean l-groups via a localic Yosida theorem
• On a Representation Theory for a Class of Archimedean Lattice-Ordered Rings
• Settling a Number of Questions about Hyper-Archimedean Lattice-Ordered Groups
• Some unusual epicomplete Archimedean lattice-ordered groups
• On vector lattice with a unit, II

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