On openness and surjectivity of lifted frame homomorphisms

DOI10.1016/j.topol.2010.05.012zbMath1205.06008OpenAlexW2054683969MaRDI QIDQ989099

Themba Dube, Inderasan Naidoo

Publication date: 27 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.05.012

zbMATH Keywords

frameStone-Čech compactificationopen mapcompletely regular frameHewitt realcompactificationnearly open mapuniversal Lindelöfication\(\upsilon\)-embedding\(N\)-map

Mathematics Subject Classification ID

Frames, locales (06D22) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

Related Items (5)

When lifted frame homomorphisms are closed ⋮ The reals as full and balanced biframe ⋮ Characterizing realcompact locales via remainders ⋮ Erratum to ``On openness and surjectivity of lifted frame homomorphisms ⋮ More on the functor induced by \(z\)-ideals

Cites Work

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• A little more on coz-unique frames
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• Remote points and the like in pointfree topology
• Paracompactness revisited
• Variants of openness
• Mappings and spaces
• Coz-onto frame maps and some applications
• Maps that Characterize Normality Properties and Pseudocompactness
• C- and C^*-quotients in pointfree topology
• Images and Open Subspaces of SV Spaces
• Realcompactness and the cozero part of a frame

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