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Math Help - Complete Partial Orders

  1. #1
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    Complete Partial Orders

    Can anybody show me how to solve this:
    ∑∞ is a complete partial order
    thanks!

    (sigma to the power of infinity is a complete partial order)
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by sm87 View Post
    Can anybody show me how to solve this:
    ∑∞ is a complete partial order
    thanks!

    (sigma to the power of infinity is a complete partial order)
    What is \Sigma^{\infty}?
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  3. #3
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    Its a set of all finite and infinite strings over an alphabet ∑.
    The main focus of the question is on the completeness of this poset i.e. showing
    that each directed set in ∑∞ has a supremum.
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