Meanings
noununderlying set (plural underlying sets)
plural underlying sets
- mathematicsA set of "points" upon which a topology is built, thereby yielding a topological space.
- algebraA set upon which some operations are defined, thereby yielding an algebraic structure.
Synonyms: carrier set
Synonyms & antonyms
nounA set upon which some operations are defined, thereby yielding an algebraic structure.
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Cite this entry
APA
underlying set. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/underlying%20set
MLA
“underlying set.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/underlying%20set. Accessed November 2, 2026.
Chicago
WatkinsX Dictionary, s.v. “underlying set,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/underlying%20set.
Source: underlying set on Wiktionary, CC BY-SA 4.0.