Difference between revisions of "Perfect set"
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Latest revision as of 12:38, 2 March 2010
A perfect set is a closed set such that every single point in the set is a limit point of the set. For example, 
is a perfect set, though a more interesting example is the Cantor set.
In 
, any perfect set has an uncountable number of points. This can be shown by taking increasingly smaller neighborhoods about a point in the set.
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