Show that there is a Borel function from [0,1] to $2^ω$. Conclude that there is a Borel function from $[0,1]^ω$ to $2^ω$. I'm not sure how to go about this. I know that a function is Borel if the preimage of open subsets of Y are Borel in X, but I don't know how to construct one. Any help is appreciated.
2026-03-27 06:07:29.1774591649
Show that there is a Borel function from [0,1] to $2^ω$
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