# Intersection of sets

From Encyclopedia of Mathematics

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One of the basic operations on sets. Suppose one has a finite or infinite collection of sets $\{A_\alpha\}$ (the subscript $\alpha$ serves to distinguish the elements of the given collection). Then the set of those elements that are contained in all these sets (the set of elements common to all $A_\alpha$) is called the intersection of these sets.

The intersection of these sets is denoted by $\bigcap A_\alpha$.

**How to Cite This Entry:**

Intersection of sets.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Intersection_of_sets&oldid=34369

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