perfect set
A set is called perfect if it is equal to the set of its limit points. An non-trivial example of a perfect set is the http://planetmath.org/node/2083middle-thirds 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 |