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Thread: examples, sequences of ordinals

  1. Apr 7th 2010, 06:20 PM #1
    eskimo343
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    examples, sequences of ordinals

    Give examples of strictly increasing sequences of ordinals such that

    \text{lim}_n(\alpha_n + \beta) \not = \text{lim}_n \alpha_n + \beta,

    \text{lim}_n(\alpha_n + \beta_n) \not = \text{lim}_n \alpha_n + \text{lim}_n \beta_n.

    I cannot think any examples that work for this one. The problem is that I can't recall many examples of strictly increasing sequences of ordinals. I need some help on this problem. Thank you.
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  2. Apr 8th 2010, 06:56 AM #2
    kompik
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    multiple post

    The same question was asked (and answered) here
    sequences of ordinals
    and here
    S.O.S. Mathematics CyberBoard :: View topic - examples, sequences of ordinals
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