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Math Help - one question about a partition and subfield

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    one question about a partition and subfield

    1. Let A1, . . . ,An be subsets of a (nonempty, but not necessarily finite) set
    .
    (For partial credit, you may consider just the case n = 2.)
    (a) Let f be the collection of nonempty subsets of
    of the form
    C = X1 ^X2^...^ Xn : ,Xi = Ai or Xi = Ai(complement)
    Show that f is a partition of
    .
    (b) Show that the collection F of (necessarily finite) unions of zero or more cells
    of f is the smallest field of subsets of
    which contains each of A1, . . . ,An.
    (c) Use this result to do Problem 2 from Assignment 1.

    It is my assignment, I am really confused about it
    Last edited by wangjian790; September 17th 2009 at 07:35 PM.
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