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Quick question about sigma algebra proof.

  1. Feb 5, 2012 #1
    If A is a sigma algebra on a set S.

    if Ai E A. i = 1,...,n
    prove that the intersection of all Ai E A.

    now isn't the intersection just the empty set in this case? Which is already proved as the empty set is always contained in A?
  2. jcsd
  3. Feb 6, 2012 #2


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    Science Advisor

    Why would the intersection of the Ai be empty?
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