I am new to measure theory and real analysis and am trying to double check my understanding of monotone classes.
Can monotone classes be finite? (It is not clear to me whether the idea of increasing or decreasing sets refers to STRICTLY increasing or decreasing sets.)
A related question:
Is any subset of a monotone class itself a monotone class? (The reason I ask is that I do now know the answer to the previous question.)
Thanks in advance.