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MSC 2000:

*54-02 Research monographs (general topology)
06-02 Research monographs (ordered structures)
03G30 Categorical logic
18B30 Categories of topological spaces
06C20 Complemented modular lattices, etc.
06E15 Stone space and related constructions
18A15 Relations of category theory to logic
18B25 Topoi
54B20 Hyperspaces
54D30 Compactness
18-02 Research monographs (category theory)

Keywords: Boolean algebras; frames; locales; monads; free objects in varieties of lattices; compact Hausdorff spaces; continuous real-valued functions; representations of rings; profiniteness and duality; continuous lattices; Kakutani's theory of M-spaces; sheaf theory; categorical logic; global-section representations of rings; Keimel's L-ring representation; F-rings; Pontrjagin-type dualities; exponentiable locales

Citations: Zbl 0452.06001; Zbl 0433.14018; Zbl 0231.18009; Zbl 0201.350; Zbl 0341.18002

Cited in: Zbl pre06145111 Zbl 1261.46051 Zbl 1245.06020 Zbl 1244.54013 Zbl 1231.06018 Zbl 1232.06019 Zbl 1222.03072 Zbl 1154.06007 Zbl 1080.06010 Zbl 1040.06004 Zbl 1054.54005 Zbl 0986.18006 Zbl 0944.18001 Zbl 0890.54003 Zbl 0922.54002 Zbl 0858.54007 Zbl 0806.18003 Zbl 0798.54033 Zbl 0789.18005 Zbl 0764.03024 Zbl 0703.06007 Zbl 0689.18003 Zbl 0687.18004 Zbl 0668.54001 Zbl 0721.54020 Zbl 0703.03040 Zbl 0609.54009 Zbl 0586.54001 Zbl 0551.06014 Zbl 0565.03029 Zbl 0511.54006 Zbl 0511.54005

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