noun
Meaning 1
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).
Definition source: English Wiktionary via Wiktextract
Qualifier: "on" a set S
Topics: algebra, mathematics, sciences, topology
Examples
- 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 .
Meaning relationships
Synonyms: hull operator
Antonyms: none provided