1. Directed setIn mathematics, a directed set (or a directed preorder or a filtered set) is a nonempty set A together with a reflexive and transitive binary relation ≤ (that is, a preorder), with the additional property that every pair of elements has an upper bound: In other words, for any a and b in A there must exist a c in A with a ≤ c and b ≤ c. Directed sets are a generalization of nonempty totally ordered sets, that is, all totally ordered sets are directed sets (but not all partially ordered sets).
Read “Directed set” on English Wikipedia
Read “有向集合” on Japanese Wikipedia
Read “Directed set” on DBpedia
Read “Directed set” on English Wikipedia
Read “有向集合” on Japanese Wikipedia
Read “Directed set” on DBpedia
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