Remarks on Priestley duality for distributive lattices (Q1183950)
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scientific article; zbMATH DE number 33913
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on Priestley duality for distributive lattices |
scientific article; zbMATH DE number 33913 |
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Remarks on Priestley duality for distributive lattices (English)
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28 June 1992
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It is shown that there is a duality between the category of bounded distributive lattices and 0-preserving join-homomorphisms and the category of Priestley spaces and certain relations between them. A correspondence between 0,1-sublattices of a bounded distributive lattice and certain preorder relations on its Priestley space is established.
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duality
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bounded distributive lattices
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0-preserving join-homomorphisms
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Priestley spaces
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