Cozero bases of frames

DOI10.1016/S0022-4049(99)00167-XzbMath0964.54020MaRDI QIDQ5928470

Christopher Gilmour, Bernhard Banaschewski

Publication date: 28 March 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

compactificationBoolean algebrascozero basiszero-dimensional

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Frames, locales (06D22) Boolean algebras (Boolean rings) (06E99) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Realcompactness and realcompactification (54D60)

Related Items (22)

A little more on coz-unique frames ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Realcompact Alexandroff frames ⋮ Pointfree pseudocompactness revisited ⋮ A pointfree theory of Pervin spaces ⋮ On the ideal of functions with compact support in pointfree function rings ⋮ Concerning some variants of \(C\)-embedding in pointfree topology ⋮ On some parallelism between complete regularity and zero-dimensionality ⋮ Connectedness extended to \(\sigma\)-frames ⋮ Remarks on the Stone-Čech and Alexandroff compactifications of locales ⋮ A broader view of the almost Lindelöf property ⋮ Categorical geometry and integration without points ⋮ \(C\)-epic compactifications ⋮ Continuous extensions of real functions on arbitrary sublocales and \(C\)-, \(C^\ast\)-, and \(z\)-embeddings ⋮ Some notes on \(C\)- and \(C^*\)-quotients of frames ⋮ Weakly pseudocompact frames ⋮ Notes Concerning Characterizations of Quasi-FFrames ⋮ On classes of localic maps defined by their behavior on zero sublocales ⋮ Concerning \(P\)-frames, essential \(P\)-frames, and strongly zero-dimensional frames ⋮ Rings of continuous functions vanishing at infinity on a frame ⋮ Remote points and the like in pointfree topology

Cites Work

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• Compactification and local connectedness of frames
• Stone-Čech compactification of locales. II
• \(E\)-compactness in pointfree topology
• Compactification of Frames
• On the structure of a class of archimedean lattice-ordered algebras
• Realcompact spaces and regular σ -frames
• Lindelöf locales and realcompactness
• THE FRAME ENVELOPE OF A σ-FRAME
• A Note on Certain Subalgebras of C()
• On Inverse-Closed Subalgebras of C (X )^†

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