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- W2079332495 abstract "If D is a set of subsets of a finite set such that a ϵ D,b ⊃ a ⇒ b ϵ D, then D is called a down-set. Berge proved that any down-set D is the disjoint union of pairs {a, b} such that a ∩ b = /b/ together with the singleton {⊘} if |D| is odd. A proof is given of the corresponding result for finite distributive lattices, together with a number of generalizations and analogues of it; when specialized to the lattice of all subsets of a finite set, this proof is rather simpler than was Berge's." @default.
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- W2079332495 date "1983-03-01" @default.
- W2079332495 modified "2023-10-16" @default.
- W2079332495 title "Pairings from down-sets and up-sets in distributive lattices" @default.
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- W2079332495 doi "https://doi.org/10.1016/0097-3165(83)90057-2" @default.
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