Epicompletion in frames with skeletal maps. I: Compact regular frames

DOI10.1007/s10485-007-9110-7zbMath1156.06004OpenAlexW2079578050MaRDI QIDQ945025

Eric R. Zenk, Jorge Martinez

Publication date: 10 September 2008

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

Full work available at URL: https://doi.org/10.1007/s10485-007-9110-7

zbMATH Keywords

epicompletionskeletal mapscompact regular frames

Mathematics Subject Classification ID

Frames, locales (06D22) Embedding theorems, universal categories (18B15)

Related Items (10)

Pointfree functorial polar functions ⋮ Some connections between frames of radical ideals and frames of \(z\)-ideals ⋮ Saturation, Yosida covers and epicompleteness in compact normal frames ⋮ Morphisms and pushouts in compact normal joinfit frames ⋮ Essential completeness in categories of completely regular frames. ⋮ Epicompletion in frames with skeletal maps. IV: \(\ast\)-regular frames ⋮ A method for constructing coreflections for nearness frames. ⋮ Epicompletion in frames with skeletal maps. III: When maps are closed ⋮ Epicompletion in frames with skeletal maps. II: Compact normal joinfit frames ⋮ When ${\rm Min}(G)^{-1}$ has a clopen $øldpi$-base

Cites Work

• Archimedean lattices
• Completely regular absolutes and projective objects
• Variants of openness
• When an algebraic frame is regular
• Nuclear typing of frames vs spatial selectors
• \(H\)-closed spaces and reflective subcategories
• Epimorphisms of frames
• Patch-generated frames and projectable hulls
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