Meanings
noundirected set (plural directed sets)
plural directed sets
- algebraA set equipped with a preorder such that for any two elements a and b there is an element c such that a ≤ c and b ≤ c.
Synonyms: downward directed set, upward directed set
Synonyms & antonyms
nounA set equipped with a preorder such that for any two elements a and b there is an element c such that a ≤ c and b ≤ c.
Similar
downward directed setupward directed set
Cite this entry
APA
directed set. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/directed%20set
MLA
“directed set.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/directed%20set. Accessed November 3, 2026.
Chicago
WatkinsX Dictionary, s.v. “directed set,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/directed%20set.
Source: directed set on Wiktionary, CC BY-SA 4.0.