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March 8th, 2011, 10:49 AM   #1
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algebra generated by specific family of sets

Hi,
I have been given a hometask in Measure Theory to describe algebra and -algebra generated by , where and is the universal set.
I think I understand what is algebra and I can recognize it, but I am confused with this. Because it seems that can be both finite and infinite. And also I am not sure how to cope with countable unions.
Can anybody help?
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March 9th, 2011, 07:10 AM   #2
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Re: algebra generated by specific family of sets

First of all, contains all countable subsets of . But is a -algebra so it contains also their complements. So we can try .
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