Singleton set: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Richard Pinch
(new entry, just a definition really)
 
imported>Richard Pinch
(expanded slightly)
Line 1: Line 1:
In [[set theory]], a '''singleton''' is a [[set (mathematics)|set]] with exactly one element:
In [[set theory]], a '''singleton''' is a [[set (mathematics)|set]] with exactly one element:


:<math>\{ x \} . \,</math>
:<math>\{ a \} . \,</math>
 
We have
 
:<math>x \in \{ a \} \Leftrightarrow x = a . \,</math>

Revision as of 07:03, 23 November 2008

In set theory, a singleton is a set with exactly one element:

We have