# Empty set

From Encyclopedia of Mathematics

The set which contains no elements. Notation: , . In other words, . Moreover, any assertion that is always false could be used in this definition instead of . The empty set is a subset of any set.

**How to Cite This Entry:**

Empty set.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Empty_set&oldid=16423

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article