Dedekind cut

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Dedekind cut

(German ˈdedəˌkɪnt)
n
1. (Mathematics) a method of according the same status to irrational and rational numbers, devised by Julius Wilhelm Dedekind (1831-1916)
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The former class is associated to finite posets, while the latter corresponds to dedekind complete finite posets.
When DI digraphs are considered, the range of f are precisely the dedekind complete finite posets, i.
The next paragraph of this section deals with some facts about Dedekind complete and universally complete vector lattices.