Word.ws English Dictionary

closure operator

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).

Noun

closure operator (plural closure operators)

  1. ("on" a set S) 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).
    • 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 of closure operator

Forms of closure operator

pluralclosure operators

Words formed from closure operator

Questions about closure operator

What does closure operator mean?
Closure operator means 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).
What part of speech is closure operator?
Closure operator is a noun.
What is the plural of closure operator?
The plural of closure operator is closure operators.

Words near closure operator in the dictionary

  1. clostridiums
  2. clostripain
  3. clostripains
  4. closure
  5. closure axiom
  6. closure operator
  7. closure operators
  8. closure space
  9. closure system
  10. closure temperature
  11. closure temperatures

Source and license

Adapted from Wiktionary: closure operator (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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