Bijective Function

up:: 020 MOC Mathematics

A function is said to be bijective if it induces a one-to-one correspondence between and . That is,

That is, is both an Injective Function and a Surjective Function.

Appearance in Mathematics

• A function that is both a bijection and a group homomorphism is called a Group Isomorphism
• A function that is both a bijection and a continuous function in both directions is said to be a Homeomorphism