closure operator

noun

A function which maps any subset X of S onto another such subset (or possibly X itself) called the closure of X (thus providing a mathematical means to define closure).

Similar
hull operator
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Meanings

nounclosure operator (plural closure operators)

plural closure operators

  1. "on" a set SalgebraA function which maps any subset X of S onto another such subset (or possibly X itself) called the closure of X (thus providing a mathematical means to define closure).

    1997 [Kluwer Academic], R. Friĉ, History of Sequential Convergence Spaces, C. E. Aull, R. Lowen (editors), Handbook of the History of General Topology, Volume 1, Springer, page 346, Let u be a closure operator on X satisfying the first three closure axioms: u(U∪B)=uU∪uB,A⊂u(A),u empty = empty .

    Synonyms: hull operator

Synonyms & antonyms

nounA function which maps any subset X of S onto another such subset (or possibly X itself) called the closure of X (thus providing a mathematical means to define closure).

Similar
hull operator
Also see
hull operator

Translations

German Hüllenoperator
  • Hüllenoperatorfunction mapping a subset to its closure
Cite this entry
APA

closure operator. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/closure%20operator

MLA

“closure operator.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/closure%20operator. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “closure operator,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/closure%20operator.

Source: closure operator on Wiktionary, CC BY-SA 4.0.