Source: wikibot/monotone-class-theorem
= Monotone class theorem
{wiki=Monotone_class_theorem}
The Monotone Class Theorem is an important result in measure theory, particularly in the theory of σ-algebras and the construction of measures. It provides a way to extend certain types of sets (often related to a σ-algebra) under specific conditions. The theorem is usually stated in terms of the construction of σ-algebras from collections of sets.