Perfectness in locales

DOI10.2989/16073606.2017.1299810zbMath1436.06022OpenAlexW2606046065MaRDI QIDQ5236086

Tomasz Kubiak, Javier Gutiérrez García, Jorge Picado

Publication date: 15 October 2019

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

Full work available at URL: http://hdl.handle.net/10316/43888

zbMATH Keywords

normalitylocaleperfectnesssublocaleperfect normalitymild normality\(G_\delta\)-sublocalepm-normality\(F_\sigma\)-sublocaleOz locale

Mathematics Subject Classification ID

Frames, locales (06D22) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items (7)

Perfect locales and localic real functions ⋮ On the parallel between normality and extremal disconnectedness ⋮ Measurable functions on \(\sigma\)-frames ⋮ On ideals of rings of continuous functions associated with sublocales ⋮ Hedgehog frames and a cardinal extension of normality ⋮ More on the functor induced by \(z\)-ideals ⋮ Concerning \(P\)-sublocales and disconnectivity

Cites Work

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• On the parallel between normality and extremal disconnectedness
• Covering maximal ideals with minimal primes
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• Monotone normality and stratifiability from a pointfree point of view
• Frames and Locales
• Realcompact spaces and regular σ -frames
• Oz in pointfree topology
• Dimension Theory for Σ-Frames
• Countable Paracompactness and Weak Normality Properties
• More on locales in which every open sublocale is \(z\)-embedded

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