From Encyclopedia of Mathematics
Revision as of 17:24, 7 February 2011 by (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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