
bijection,
n. a one-to-one correspondence; a function or mapping that associates two sets in such a way that one and only one member of its range is paired with each member of its domain as shown below

For example, the pairing of married men with the women to whom they are married is a bijection between the sets of married men and married women if and only if society is monogamous. A bijection is both injective and surjective, and has an inverse.
