Axiom $T_D$ and the Simmons sublocale theorem

DOI10.14712/1213-7243.2019.030OpenAlexW3007691153MaRDI QIDQ5218976

Jorge Picado, Ales Pultr

Publication date: 6 March 2020

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2019.030

zbMATH Keywords

localescattered spaceframesublocaleweakly scattered spaceinduced sublocalecoframe of sublocales\(T_D\)-separationcovered prime elementspatial sublocale

Mathematics Subject Classification ID

Frames, locales (06D22) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (5)

The category of finitary biframes as the category of pointfree bispaces ⋮ On the relation between subspaces and sublocales ⋮ The coframe of \(D\)-sublocales of a locale and the \(T_D\)-duality ⋮ On the Menger and almost Menger properties in locales ⋮ Notes on Point-Free Topology

Cites Work

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• Spatial sublocales and essential primes
• Lattice-equivalence of topological spaces
• Separation axioms and frame representation of some topological facts
• Variants of openness
• Pointfree Aspects of theT_dAxiom of Classical Topology
• On covered prime elements and complete homomorphisms of frames
• Frames and Locales
• Spaces with Boolean assemblies
• The lattice theoretic part of topological separation properties
• T D property and spatial sublocales

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