Pointfree pointwise suprema in unital Archimedean \(\ell\)-groups.

DOI10.1016/j.jpaa.2015.03.006zbMath1344.06010arXiv1411.3362OpenAlexW2962697717MaRDI QIDQ2349334

Richard N. Ball, Anthony W. Hager, Joanne Walters Wayland

Publication date: 22 June 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3362

zbMATH Keywords

continuous real valued functions on localesMadden representationsNakano-Stone theorempointwise supremaunital Archimedean lattice-ordered groupsweak order units

Mathematics Subject Classification ID

Frames, locales (06D22) Real-valued functions in general topology (54C30) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (2)

On the Dini and Stone-Weierstrass properties in pointfree topology. ⋮ Pointfree pointwise convergence, Baire functions, and epimorphisms in truncated Archimedean \(\ell\)-groups

Cites Work

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• The essential closure of an Archimedean lattice-ordered group
• Free lattice-ordered Abelian groups
• Epicomplete archimedean l-groups via a localic Yosida theorem
• Frames and Locales
• Convergence and Cauchy Structures on Lattice Ordered Groups
• C- and C^*-quotients in pointfree topology

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