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2006

Priestley Duality for Strong Proximity Lattices

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Priestley Duality for Strong Proximity Lattices
In 1937 Marshall Stone extended his celebrated representation theorem for Boolean algebras to distributive lattices. In modern terminology, the representing topological spaces are zero-dimensional stably compact, but typically not Hausdorff. In 1970, Hilary Priestley realised that Stone's topology could be enriched to yield order-disconnected compact ordered spaces. In the present paper, we generalise Priestley duality to a representation theorem for strong proximity lattices. For these a "Stone-type" duality was given in 1995 in joint work between Philipp S
Mohamed A. El-Zawawy, Achim Jung
Added 12 Dec 2010
Updated 12 Dec 2010
Type Journal
Year 2006
Where ENTCS
Authors Mohamed A. El-Zawawy, Achim Jung
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