Suppose that a finite additive measure is continuous from below, I need to show that it is a measure.
Proof.
Let , all disjoint.
Define .
Note that: 1. and 2.
Then we have
Now, .
Is this correct? Thank you.
Suppose that a finite additive measure is continuous from below, I need to show that it is a measure.
Proof.
Let , all disjoint.
Define .
Note that: 1. and 2.
Then we have
Now, .
Is this correct? Thank you.