I've been presented with a definition of monotone classes that I was unfamiliar with : a subset of the power set containing the entire space, closed under countable increasing union and difference between two ordered subsets. I would have thought that it was equivalent to the other definition saying that it was closed under countable monotone unions and intersections. I can't manage to prove it.... is it true ? Thx
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No, because this structure has complements, as well. – Thomas Andrews Oct 03 '16 at 15:42
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Is this other definition widespread ? – James Well Oct 03 '16 at 20:42