Additive ClassDefinition of additive class (completely additive class) A class of subsets of space satisfying the following conditions: Definition of measure space Consider a space , the class of subsets , and the set function . We have Borel family of sets The distance between two points and in a Euclidean space is . For any point in and any positive number , is called -neighbor. The additive class of the entire open set is called Borel family of sets in . The combination of space and additive class , is called Borel space. [0]Top |