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Math Help - Problem on lexicographic order

  1. #1
    MHF Contributor Also sprach Zarathustra's Avatar
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    Problem on lexicographic order

    Hello!

    How to find well ordered sets (X,<_1), (Y,<_2) such that X\times Y with lexicographic order isn't isomorphic to  Y\times X with lexicographic order?



    Thank you!
    Last edited by Also sprach Zarathustra; December 27th 2012 at 08:10 AM.
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  2. #2
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    Re: Problem on lexicographic order

    See why ordinal multiplication is not commutative.
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  3. #3
    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: Problem on lexicographic order

    Quote Originally Posted by emakarov View Post
    See why ordinal multiplication is not commutative.

    Makarov, thank you very much for this information.
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