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=18176
Bijection. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bijection&oldid=18176
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article