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Thread: Least Upper Bound

  1. #1
    Oct 2010

    Least Upper Bound

    Consider the Hasse diagram shown below. What is the least upper bound for the subset {c, d, e}?

    The upper bounds for {c, d, e} are f, g, h. But what is the least upper bound? My friend says the least upper bound does not exist. I say the least upper bound is h because it is related to f and g.

    Which one of us is right?
    Attached Thumbnails Attached Thumbnails Least Upper Bound-hassediagram.jpg  
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  2. #2
    MHF Contributor

    Aug 2006
    You are correct.
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