International Journal of Applied Research
Vol. 1, Issue 12, Part H (2015)
The Extension of Measures
In this paper we have to show that if A is any algebra of subsets of a set X and if μ is a measure defined on A then there exist a σ- algebra A^* containing A and a measure〖 μ〗^* defined on A^* such that μ^* (E)=μ(E) in A. In other words the measure μ can be extended to a measure on a σ-algebra〖 A〗^* of subsets of X, which contains A.
How to cite this article:
Parvinder Singh. The Extension of Measures. Int J Appl Res 2015;1(12):524-526.