# Mapping/Bijective/Definition

Bijective

Let and denote sets and suppose that

is a
mapping.
Then is called * bijective* if is
injective
as well as
surjective.

Bijective

Let ${}M$ and ${}L$ denote sets and suppose that

- $F\colon M\longrightarrow L,x\longmapsto F(x),$

is a
mapping.
Then ${}F$ is called * bijective* if ${}F$ is
injective
as well as
surjective.