Difference between revisions of "Closed set"

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Revision as of 13:10, 27 February 2010

In topology, a closed set is the complement of an open set.

Equivalently, a set is closed if it contains all of its limit points, or if its closure is equal to itself.

Under the standard topology of the real line, a closed set is the union of a number of disjoint closed intervals and closed rays.

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