Word.ws English Dictionary

closure operators

closure operators is the plural of closure operator.

Meaning of closure operator

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

Questions about closure operators

What is closure operators the plural of?
Closure operators is the plural of closure operator.

Words near closure operators in the dictionary

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

Source and license

Adapted from Wiktionary: closure operators (page history and authors); 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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