On the Dini and Stone-Weierstrass properties in pointfree topology.

DOI10.1016/j.topol.2015.12.018zbMath1338.06008OpenAlexW2219264412MaRDI QIDQ2634698

Jacques Masuret, David Holgate, Mark Sioen

Publication date: 18 February 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.12.018

zbMATH Keywords

pseudocompactnessframes\(f\)-ringsLindelöfpointfree topologycontinuous real-valued functionsStone-Weierstrass propertyDini property

Mathematics Subject Classification ID

Compactness (54D30) Topological spaces and generalizations (closure spaces, etc.) (54A05) Frames, locales (06D22) Real-valued functions in general topology (54C30) Ordered rings, algebras, modules (06F25)

Related Items (1)

When Boole commutes with Hewitt and Lindelöf

Cites Work

• Ring ideals and the Stone-Čech compactification in pointfree topology
• Groupes et anneaux reticules
• \(\ell\)-ring aspects of compactification in pointfree topology
• Pointfree pointwise suprema in unital Archimedean \(\ell\)-groups.
• Certain generalizations of the Weierstrass approximation theorem
• The representation of functionals by integrals
• Some new characterizations of pointfree pseudocompactness
• Frames and Locales
• Compactification of Frames
• Spaces for Which the Stone-Weierstrass Theorem Holds
• \(f\)-rings and the Stone-Weierstrass theorem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Dini and Stone-Weierstrass properties in pointfree topology.