Difference between revisions of "Limit point"
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Revision as of 16:00, 21 June 2008
Let be a topological space; let be a subset of . An element of is called a limit point of if every neighborhood of contains some element of other than .
When is a metric space, it follows that every neighborhood of must contain infinitely many elements of other than . A point such that each neighborhood of contains uncountably many elements of is called a condensation point of .
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