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Perfect Set

   Also found in: Wikipedia 0.01 sec.
perfect set [′pərĀ·fikt ′set]
(mathematics)
A set in a topological space which equals its set of accumulation points.

Perfect Set 

a closed set without isolated points, that is, a closed set identical with the set of its limit points. The Cantor set is the classic example of a perfect set that is everywhere nondense. Any nonempty perfect set in Euclidean space has the power of the continuum.



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But instead of either of these, he saw nothing but a strange face, sunburnt, and encircled by a beard, with eyes brilliant as carbuncles, and a smile upon the mouth which displayed a perfect set of white teeth, pointed and sharp as the wolf's or jackal's.
His mouth was large, but compressed, and possessing a great share of expression and character, and, when opened, it discovered a perfect set of short, strong, and regular teeth.
 
 
 
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