Bijection
From Encyclopedia of Mathematics
bijective mapping, of a set 
into a set 
A mapping 
under which different elements in 
have different images in 
. In other words, 
is a one-to-one mapping of 
onto 
, i.e. a mapping that is both an injection and a surjection. A bijection establishes a one-to-one correspondence between the elements of the sets 
and 
. A bijection of a set 
onto itself is also called a permutation of 
.
How to Cite This Entry:
Bijection. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bijection&oldid=21159
Bijection. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bijection&oldid=21159
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article