What's the meaning of X = {0,1}$^\mathbb{Z}$?
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The set of functions from $\mathbb Z$ to ${ 0,1 }$. Every such function coresponds to a subset of $\mathbb Z$. – Mauro ALLEGRANZA Oct 28 '19 at 09:16
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This is the set of mappings $\{f\mid f:\Bbb Z\rightarrow\{0,1\}\}$, or the set of denumerable sequences labeled by the integers with values in the set $\{0,1\}$ (binary sequences).
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