Natural continuity space structures on dual Heyting algebras
Marcel Erné, Ralph Kopperman (1990)
Fundamenta Mathematicae
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Marcel Erné, Ralph Kopperman (1990)
Fundamenta Mathematicae
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Sekanina, M.
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M. Berri (1966)
Fundamenta Mathematicae
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He Wei, Jiang Shouli (2002)
Commentationes Mathematicae Universitatis Carolinae
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We give some necessary and sufficient conditions for the Scott topology on a complete lattice to be sober, and a sufficient condition for the weak topology on a poset to be sober. These generalize the corresponding results in [1], [2] and [4].