Monoreflections of Archimedean \(\ell\)-groups, regular \(\sigma\)-frames and regular Lindelöf frames

DOI10.1016/j.topol.2005.01.040zbMath1104.06011OpenAlexW2091567183MaRDI QIDQ2508936

Anthony W. Hager, James J. Madden

Publication date: 20 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.01.040

zbMATH Keywords

reflectionlocalelattice-ordered groupepicompletionBaire functionsring of continuous functionscoreflectionessential reflection

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Frames, locales (06D22) Ordered groups (06F15) Real-valued functions in general topology (54C30)

Related Items (3)

The \(H\)-closed monoreflections, implicit operations, and countable composition, in Archimedean lattice-ordered groups with weak unit ⋮ Composition-closed \(\ell \)-groups of almost-piecewise-linear functions ⋮ Comments on monoreflections in unital archimedean lattice-ordered groups and rings

Cites Work

• A description of HSP-like classes, and applications
• Algebraic extensions of an archimedean lattice-ordered group. I
• Semi-algebraic function rings and reflectors of partially ordered rings
• \(\varepsilon\)-spaces
• Epicomplete archimedean l-groups via a localic Yosida theorem
• \(\kappa\)-frames
• Lindelöf locales and realcompactness
• The point of pointless topology
• Frames Associated with an Abelian l-Group
• Paracompactness and product spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Monoreflections of Archimedean \(\ell\)-groups, regular \(\sigma\)-frames and regular Lindelöf frames