empty set
An empty set is a set that contains no elements. The Zermelo-Fraenkel Axioms of set theory imply that there exists an empty set. One constructs an empty set by starting with any set and then applying the axiom of separation to form the empty set .
An empty set is a subset of every other set, and any two empty sets are equal. Alternative notations for the empty set include and .
Title | empty set |
---|---|
Canonical name | EmptySet |
Date of creation | 2013-03-22 11:49:55 |
Last modified on | 2013-03-22 11:49:55 |
Owner | djao (24) |
Last modified by | djao (24) |
Numerical id | 8 |
Author | djao (24) |
Entry type | Definition |
Classification | msc 03-00 |
Classification | msc 65H05 |
Classification | msc 65H10 |
Synonym | null set |