Additive class of sets
A collection of subsets of a set satisfying:
ii) implies ;
iii) implies .
The collection is a completely additive class of sets if it satisfies:
b) implies ;
c) , , implies .
A completely additive class is also called a -field, a -algebra or a Borel field of sets.
|[a1]||M.E. Munroe, "Measure and integration" , Addison-Wesley (1953) pp. 60|
Additive class of sets. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Additive_class_of_sets&oldid=28040