lower set

noun

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

Opposite
upper set
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Meanings

nounlower set (plural lower sets)

plural lower sets

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

Synonyms & antonyms

Opposite
upper set
Cite this entry
APA

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

MLA

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

Chicago

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

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