THE FRAME ENVELOPE OF A σ-FRAME

DOI10.1080/16073606.1993.9631714zbMath0779.06009OpenAlexW1506953737MaRDI QIDQ5288180

Bernhard Banaschewski

Publication date: 16 August 1993

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1993.9631714

zbMATH Keywords

compactnessconstructivenesschoice principles\(\sigma\)-frame coproductframe envelopeLindelöf elementsuniversal frame extension of a \(\sigma\)-frame

Mathematics Subject Classification ID

Heyting algebras (lattice-theoretic aspects) (06D20) Product spaces in general topology (54B10)

Related Items (14)

Unnamed Item ⋮ Uniform local connectedness and completion of metric \(\sigma\)-frames ⋮ Unnamed Item ⋮ Connectedness extended to \(\sigma\)-frames ⋮ The congruence frame and the Madden quotient for partial frames ⋮ Cozero bases of frames ⋮ Coverages give free constructions for partial frames ⋮ Samuel compactification and uniform coreflection of nearness σ-frames ⋮ Some notes on \(C\)- and \(C^*\)-quotients of frames ⋮ The Stone-Čech compactification of a partial frame via ideals and cozero elements ⋮ Complete nearness \(\sigma\)-frames ⋮ Uniformly locally connected uniform \(\sigma\)-frames ⋮ Pseudocompact σ-Frames ⋮ Remarks on the frame envelope of a sigma-frame

Cites Work

• Unnamed Item
• Continuous lattices. Proceedings of the conference on topological and categorical aspects of continuous lattices (Workshop IV) held at the University of Bremen, Germany, November 9-11, 1979
• Lindelöf locales and realcompactness
• Stone-čech Compactification and Dimension Theory for Regular σ-Frames
• A note on iterative arguments in a topos

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