Closure (topology): Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Pat Palmer
m (Closure moved to Closure mathematical: Need to disambiguate with closure in computer science, which has a somewhat different usage.)
imported>Hendra I. Nurdin
m (Closure mathematical moved to Closure (mathematics): Closure (mathematics) reads better than Closure mathematical)
(No difference)

Revision as of 20:24, 17 September 2007

In mathematics, the closure of a subset A of a topological space X is the set union of A and all its limit points in X. It is usually denoted by . Other equivalent definitions of the closure of A are as the smallest closed set in X containing A, or the intersection of all closed sets in X containing A.