Thread: Relations

Let R be a relation on A and be a function. We say that f preserves the relation iff a R b implies f(a) R f(b). what do we call functions from R to R ( real numbers) that preseves the relation?

Originally Posted by onemore

Let R be a relation on A and be a function. We say that f preserves the relation iff a R b implies f(a) R f(b). what do we call functions from R to R ( real numbers) that preseves the relation?

Monotone increasing.

Tonio