Difference between revisions of "Surjection"
From Encyclopedia of Mathematics
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| − | ''surjective mapping, from a set | + | ''surjective mapping, from a set $A$ onto a set $B$'' |
| − | A mapping | + | A mapping $f$ such that $f(A)=B$, i.e. such that for each $b\in B$ there is an $a\in A$ with $f(a)=b$. As well as saying "$f$ is surjective" , one can also say "$f$ is a mapping from $A$ onto $B$" . |
Revision as of 22:26, 13 February 2012
surjective mapping, from a set $A$ onto a set $B$
A mapping $f$ such that $f(A)=B$, i.e. such that for each $b\in B$ there is an $a\in A$ with $f(a)=b$. 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
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