Dictionary

closure operator en · NOUN

Meanings

1. (qualifier:"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 .

Forms

Deriveds

topological closure operator · algebraic closure operator

Relateds

closure axiom · closure system · closure space

Synonyms

hull operator

Translations (1)

de Hüllenoperator (function mapping a subset to its closure)