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March 8th, 2011, 10:49 AM  #1 
Member Joined: Jan 2010 Posts: 44 Thanks: 0  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? 
March 9th, 2011, 07:10 AM  #2 
Member Joined: Nov 2009 From: France Posts: 98 Thanks: 0  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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algebra, family, generated, sets, specific 
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