Category:Monotone
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This category contains results about Monotone.
Definitions specific to this category can be found in Definitions/Monotone.
- Mappings:
- Monotone (Order Theory): A mapping from one ordered set to another is monotone if and only if it is either increasing or decreasing.
- Monotone (Measure Theory): A mapping $f: \SS \to \R$ on an algebra of sets $\SS$ is monotone if and only if $A \subseteq B \iff \map f A \le \map f B$.
- Monotone class: A collection of subsets closed under countable intersections and unions.
In all cases, the sense is one of changing always in the same direction.