Definition:Correspondence/Also defined as

Correspondence: Also defined as

Some sources define a correspondence as a relation with no restrictions upon it.

That is, a correspondence from $S$ to $T$ is an arbitrary subset of the Cartesian product $S \times T$.

In order to reduce confusion, it is recommended that this usage of correspondence is not used.

Also see

• Results about correspondences can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): correspondence
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): correspondence