Let $A\subset [0,1]$ be countable. Is there a set $B\subset [0,1]$ such that $A\subset B$ and $B$ is uncountable with Lebesgue measure $0$ ?
Thank you.
Let $A\subset [0,1]$ be countable. Is there a set $B\subset [0,1]$ such that $A\subset B$ and $B$ is uncountable with Lebesgue measure $0$ ?
Thank you.
What about $B=C\cup A$, where $C$ is the Cantor set?
Recall that: