What is another word for sigma-algebra?
Pronunciation: [sˈɪɡməɹˈald͡ʒɪbɹə] (IPA) 
A sigma-algebra, in mathematics, refers to a family of subsets of a given set, which satisfies certain axioms. This concept is often used in the context of probability theory and measure theory. There are synonyms for sigma-algebra, each with a slightly different connotation. For example, the term Borel algebra specifically refers to sigma-algebras on topological spaces, while Boolean algebra is a more general term that can refer to any algebraic system that satisfies certain axioms. Other synonyms for sigma-algebra include measurable algebra, completion, and sigma-field. It is important to have these synonyms to describe the same concept, as different fields of mathematics may use different terminologies to refer to the same thing.
