# closure

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See also: Clojure

## English

### Etymology

Borrowed from Old French closure, from Late Latin clausura, from Latin claudere (to close); see clausure and cloture (etymological doublets) and close.

### Pronunciation

• enPR: klō'zhûr
• (UK) IPA(key): /ˈkləʊ.ʒə(ɹ)/
• (US) IPA(key): /ˈkloʊ.ʒɝ/, /ˈkloʊ.ʒɚ/
•  Audio (US) (file)

### Noun

closure (plural closures)

1. An event or occurrence that signifies an ending.
2. A feeling of completeness; the experience of an emotional conclusion, usually to a difficult period.
3. A device to facilitate temporary and repeatable opening and closing.
4. (programming) An abstraction that represents a function within an environment, a context consisting of the variables that are both bound at a particular time during the execution of the program and that are within the function's scope.
5. (mathematics) The smallest set that both includes a given subset and possesses some given property.
6. (topology, of a set) The smallest closed set which contains the given set.
• 1955 [Van Nostrand Reinhold], John L. Kelley, General Topology, 2017, Dover, page 42,
The closure (${\displaystyle {\mathfrak {T}}}$-closure) of a subset A of a topological space ${\displaystyle (X,{\mathfrak {T}})}$ is the intersection of the members of the family of all closed sets containing A. []
7 THEOREM The closure of any set is the union of the set and the set of its accumulation points.
7. The act of shutting; a closing.
the closure of a door, or of a chink
8. That which closes or shuts; that by which separate parts are fastened or closed.
• 1729 November 28, Alexander Pope, Letter to Jonathan Swift, 1824, The Works of Jonathan Swift: Containing Additional Letters, Volume 17, 2nd Edition, page 284,
I admire on this consideration your sending your last to me quite open, without a seal, wafer, or any closure whatever, manifesting the utter openness of the writer.
9. (obsolete) That which encloses or confines; an enclosure.
10. A method of ending a parliamentary debate and securing an immediate vote upon a measure before a legislative body.