Abstract
We study dualities between two complete lattices Eand Fi.e., mappings △:E→ F satisfying for all {x i } ieI ⊆E and all index sets I including the empty set I = O. We give characterizations and representations of dualities △, and some results on the dual △* F→Eof △ and on the associated hull operator △*△:E→Ein the general case and in various particular eases. Among several applications, we devote special attention to Fenchel-Moreau conjugations.
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