upper set

noun

A subset of a poset which contains any ascending chain which starts at any element of itself.

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Meanings

nounupper set (plural upper sets)

plural upper sets

  1. mathematicsA subset of a poset which contains any ascending chain which starts at any element of itself.

    Synonyms: upset

Synonyms & antonyms

nounA subset of a poset which contains any ascending chain which starts at any element of itself.

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Opposite
Cite this entry
APA

upper set. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/upper%20set

MLA

“upper set.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/upper%20set. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “upper set,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/upper%20set.

Source: upper set on Wiktionary, CC BY-SA 4.0.