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 |