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bijection

Mathematical function which is a one-to-one mapping of sets

EntityQ180907

Also known as bijective function · one-to-one correspondence · invertible function · bijective

Subclass of: injection
, surjective function

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between two sets such that each element of the second set is the image of exactly one element of the first set. Given a function , the image of an element is the element in the codomain. The pre-image of an element is any element in the domain such that . Equivalently, a bijection is a relation between two sets such that each element of either set is paired with exactly one element of the other set.

Overview

All data

28 statements · 11% with external sources · numbers in brackets are citations

Has characteristic: bi-totality
bi-uniqueness
Different from: identity function
injection
Has effect: equinumerosity
Facet of: duality

On other databases

18 identifiers linking bijection across the web's reference databases

Data quality

statements

11%

externally sourced

Source last edited August 15, 2026. AIDB refreshes this page daily.

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AIDB. (2026). bijection (Q180907). Retrieved from https://aidb.si/e/bijection-Q180907