Bijection

🅟 Feb 22, 2026

  🅤 Jun 10, 2026

Definition 1.

A bijective function or bijection is a function that is both injective and surjective.

The set of all bijections from a set $X$ onto a set $Y$ is denoted by

\[\bij(X, Y).\]

Note. A bijection is also known as one-to-one correspondence.