Difference between revisions of "Closure"
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| − | The '''closure''' of a set ''A'' is the intersection of all [[closed set]]s containing ''A''. In metric | + | The '''closure''' of a set ''A'' is the intersection of all [[closed set]]s containing ''A''. In [[metric space]]s, this can be also defined as the set of all limit points of the set ''A''. |
[[Category:Topology]] | [[Category:Topology]] | ||
Revision as of 18:34, June 13, 2008
The closure of a set A is the intersection of all closed sets containing A. In metric spaces, this can be also defined as the set of all limit points of the set A.