Rings of continuous functions on \(\sigma \)-frames

DOI10.1016/j.topol.2011.01.006zbMath1218.06007OpenAlexW1976341232MaRDI QIDQ536038

Bernhard Banaschewski, Christopher Gilmour

Publication date: 16 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.01.006

zbMATH Keywords

completely regular \(\sigma\)-framecozero part of a framerings of continuous functions on a \(\sigma\)-framezero-dimensional \(\sigma\)-frame

Mathematics Subject Classification ID

Frames, locales (06D22) Real-valued functions in general topology (54C30) Ordered rings, algebras, modules (06F25) Topological representations of algebraic systems (54H10)

Related Items (3)

Observables on \(\sigma\)-frame effect algebras as upper semicontinuous functions ⋮ Realcompact Alexandroff frames ⋮ Measurable functions on \(\sigma\)-frames

Cites Work

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• On the function ring functor in pointfree topology
• A Shirota theorem for frames
• Rings of functions determined by zero-sets
• Realcompact spaces and regular σ -frames
• Lindelöf locales and realcompactness
• Some Nearly Fine Uniform Spaces

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