Essential completeness in categories of completely regular frames.

DOI10.1007/s10485-011-9262-3zbMath1307.06004OpenAlexW2077204451MaRDI QIDQ1942032

Anthony W. Hager, Bernhard Banaschewski

Publication date: 25 March 2013

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-011-9262-3

zbMATH Keywords

completely regular framesessential monomorphismsBooleanizations of framesessential completionsstrongly monocoreflective subcategories

Mathematics Subject Classification ID

Related Items (9)

Normal semicontinuity and the Dedekind completion of pointfree function rings ⋮ Essential completeness of Archimedean \(\ell\)-groups with weak order unit ⋮ Maximal essential extensions in the context of frames ⋮ Pseudocompleteness in the category of locales ⋮ When Boole commutes with Hewitt and Lindelöf ⋮ From \(\lambda\)-hollow frames to \(\lambda\)-repletions in \(\mathbf{W}\). I: The scaffolding of a completely regular frame ⋮ Rigid frame maps and Booleanization. ⋮ More on the functor induced by \(z\)-ideals ⋮ Pointfree pointwise suprema in unital Archimedean \(\ell\)-groups.

Cites Work

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• On the strong amalgamation of Boolean algebras
• Projective topological spaces
• Epicompletion in frames with skeletal maps. I: Compact regular frames
• Injectivity of Archimedean \(\ell \)-groups with order unit
• Amalgamation and epimorphisms in m complete Boolean algebras
• Paracompactness revisited
• Atomless Parts of Spaces.
• The axiom of countable choice and pointfree topology

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