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Math Help - Cantor canonical form

  1. #1
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    Cantor canonical form

    Find the Cantor canonical form of \omega \cdot (\omega^{\omega}+1)+(\omega^{\omega}+1) \cdot \omega.

    Here the Cantor canonical form just means the Cantor normal form. I do not know how to find this form. I am stuck on this problem. I would appreciate some help. Thanks.

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  2. #2
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    This is Problem x12.26 from Moschovakis: Notes on Set Theory.

    In order to save time of helpers, I want to mention that the same problem was posted in several forums:
    http://www.mathhelpforum.com/math-he...ical-form.html
    Art of Problem Solving • View topic - Cantor canonical form
    S.O.S. Mathematics CyberBoard :: View topic - Cantor canonical form (I tried to give a solution here.)
    http://www.mymathforum.com/viewtopic.php?f=27&t=13627
    Cantor canonical form
    (In my opinion, the OP should have done this, or at least he/she should post a message like this after he gets a satisfactory answer in one of the forums.)
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