Unbounded functions from N to N .

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November 23rd 2012, 02:36 AM
Also sprach Zarathustra

[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!
November 23rd 2012, 04:59 AM
emakarov

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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