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December 26th, 2015, 06:41 AM   #1
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Joined: Dec 2015
From: albania

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Lebesgue measure

Hi, I need some help on solving an exercise.
M is a set collection and R(M) is the smallest sigma algebra that M⊂R(M). Prove if A∈R(M) then A is hold in a countable union of sets from M.R(M) is the smallest sigma that holds M. I have tried to do this. Let K be a collection of all subsets that are held in countable unions of elements in M. Need to show that M is in K and that K is a ring.
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