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• 14:19, 5 July 2023 Admin talk contribs deleted page Directed set (content was: "{{Short description|Mathematical ordering with upper bounds}} In mathematics, a '''directed set''' (or a '''directed preorder''' or a '''filtered set''') is a nonempty set <math>A</math> together with a reflexive and transitive binary relation <math>\,\leq\,</math> (that is, a preorder), with the additional property that every pair of elements has an upper bound.<ref>Kelley, p. 65.</ref> In oth...")