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Thread: Unbounded functions from N to N .

  1. November 23rd 2012, 02:36 AM #1
    Also sprach Zarathustra
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    [SOLVED ]Unbounded functions from N to N .

    Hello!

    Can someone please explain me why a family of unbounded functions from N to N is uncountable?




    Thank you very much!
    Last edited by Also sprach Zarathustra; November 23rd 2012 at 03:11 AM. Reason: Solved.
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  2. November 23rd 2012, 04:59 AM #2
    emakarov
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    Re: Unbounded functions from N to N .

    Because there is an injection from 2^{\mathbb{N}} to the set of unbounded functions.
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