Definition:Monotone


 * Mappings:
 * Monotone (Order Theory): A mapping from one ordered set to another is monotone it is either increasing or decreasing.
 * Monotone (Measure Theory): A mapping $f: \SS \to \R$ on an algebra of sets $\SS$ is monotone $A \subseteq B \iff \map f A \le \map f B$.


 * Monotone Class: A collection of subsets closed under countable intersections and unions.
 * Definition:Monotone Galois Connection

In all cases, the sense is one of changing always in the same direction.

Also see

 * Definition:Antitone