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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" .


See also Injection; Bijection; Permutation of a set.

How to Cite This Entry:
Surjection. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article