Perfect Set


perfect set

[′pər·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.