Difference between revisions of "Empty set"
From Encyclopedia of Mathematics
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| − | The set which contains no elements. Notation: | + | {{TEX|done}} |
| + | The set which contains no elements. Notation: $\emptyset$, $\Lambda$. In other words, $\{x:x\neq x\}$. Moreover, any assertion that is always false could be used in this definition instead of $x\neq x$. The empty set is a subset of any set. | ||
Revision as of 12:43, 9 April 2014
The set which contains no elements. Notation: $\emptyset$, $\Lambda$. In other words, $\{x:x\neq x\}$. Moreover, any assertion that is always false could be used in this definition instead of $x\neq x$. 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=31429
Empty set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Empty_set&oldid=31429
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article