Definition:Singleton Class

From ProofWiki
Jump to navigation Jump to search

Definition

Let $a$ be a set.

The class $\set a$ is a singleton (class).

It can be referred to as singleton $a$.


Also known as

Singleton $a$ can also be referred to as bracket $a$, but singleton $a$ is preferred, as it is less ambiguous.


Examples

Singleton Class of Empty Set

The singleton class $\O$ is the class whose only element is the empty set $\O$.


Also see

  • Results about singleton classes can be found here.


Sources