# Surjection

From Encyclopedia of Mathematics

*surjective mapping, from a set onto a set *

A mapping such that , i.e. such that for each there is an with . As well as saying "f is surjective" , one can also say "f is a mapping from A onto B" .

#### Comments

See also Injection; Bijection; Permutation of a set.

**How to Cite This Entry:**

Surjection.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Surjection&oldid=13977

This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article