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• W2996648902 abstract "Canonical extension of finitary ordered structures such as lattices, posets, proximity lattices, etc., is a certain completion which entirely describes the topological dual of the ordered structure and it does so in a purely algebraic and choice-free way. We adapt the general algebraic technique that constructs them to the theory of frames. As a result, we show that every locally compact frame embeds into a completely distributive lattice by a construction which generalises, among others, the canonical extensions for distributive lattices and proximity lattices. This construction also provides a new description of a construction by Marcel Erné. Moreover, canonical extensions of frames enable us to frame-theoretically represent monotone maps with respect to the specialisation order." @default.
• W2996648902 created "2019-12-26" @default.
• W2996648902 creator A5048253290 @default.
• W2996648902 date "2020-03-01" @default.
• W2996648902 modified "2023-09-23" @default.
• W2996648902 title "Canonical extensions of locally compact frames" @default.
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• W2996648902 doi "https://doi.org/10.1016/j.topol.2019.106976" @default.
• W2996648902 hasPublicationYear "2020" @default.
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