I'm trying to understand how to construct $f$; is the following sketch right (not drawn to scale)?
$2^{nd}$ question: Does every dense subset of $R$ have no isolated point and how to prove it?
I'm trying to understand how to construct $f$; is the following sketch right (not drawn to scale)?
$2^{nd}$ question: Does every dense subset of $R$ have no isolated point and how to prove it?
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