How can I show that every perfect set in $\mathbb{R}$ contains a perfect subset of measure zero?
I have thought of a compact $K$ without isolated points, and delete sets analogous to the Cantor set.
How can I show that every perfect set in $\mathbb{R}$ contains a perfect subset of measure zero?
I have thought of a compact $K$ without isolated points, and delete sets analogous to the Cantor set.
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