Let $\displaystyle E$ be a subset of real numbers and with the outer measure,$\displaystyle m^*(E)=0$.Let $\displaystyle B=\{ \mid x \mid |x \in E \}$.
Show that B is measurable with $\displaystyle m^*(B)=0$
Let $\displaystyle E$ be a subset of real numbers and with the outer measure,$\displaystyle m^*(E)=0$.Let $\displaystyle B=\{ \mid x \mid |x \in E \}$.
Show that B is measurable with $\displaystyle m^*(B)=0$