Hello!

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

Thank you very much!

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- Nov 23rd 2012, 02:36 AMAlso 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! - Nov 23rd 2012, 04:59 AMemakarovRe: Unbounded functions from N to N .
Because there is an injection from $\displaystyle 2^{\mathbb{N}}$ to the set of unbounded functions.