Pointfree pointwise convergence, Baire functions, and epimorphisms in truncated Archimedean \(\ell\)-groups

DOI10.1016/j.topol.2017.12.027zbMath1427.06002OpenAlexW2779926730MaRDI QIDQ684018

Richard N. Ball

Publication date: 9 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.12.027

zbMATH Keywords

pointwise convergencecompletely regular frame\(P\)-frametruncated Archimedean \(\ell\)-group

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Frames, locales (06D22) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (1)

Alexandroff unitization of a truncated vector lattice

Cites Work

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• Truncated abelian lattice-ordered groups. I: The pointed (Yosida) representation
• Truncated abelian lattice-ordered groups. II: The pointfree (Madden) representation
• The \(P\)-frame reflection of a completely regular frame
• On the localic Yosida representation of an archimedean lattice ordered group with weak order unit
• Pointfree pointwise suprema in unital Archimedean \(\ell\)-groups.
• Frames and Locales

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