perfect set

A set is called perfect if it is equal to the set of its limit pointsPlanetmathPlanetmath. An non-trivial example of a perfect set is the Cantor set. In fact a more general class of sets is referred to as Cantor sets, which all have (among others) the property of being perfect.

Title perfect set
Canonical name PerfectSet
Date of creation 2013-03-22 13:18:51
Last modified on 2013-03-22 13:18:51
Owner mathwizard (128)
Last modified by mathwizard (128)
Numerical id 7
Author mathwizard (128)
Entry type Definition
Classification msc 54A99
Defines perfect