I am new to measure theory and real analysis and am trying to double check my understanding of monotone classes.
My question:
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.