I'm really stuck on this problem. I couldn't find an injection or bijection from $\mathbb{N}^\mathbb{N}$ to $2^\mathbb{N}$ in order to apple Schroder-Bernstein. Can anyone help me out with this? Thanks.
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What do you mean by $\mathbb{N}^\mathbb{N}$ and $2^\mathbb{N}$? Can you describe the sets? – Yadati Kiran Nov 16 '18 at 08:47
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$\mathbb{N}^\mathbb{N}$ is the set of sequences taking values in $\mathbb{N}$ – gws Nov 16 '18 at 08:54