Open, closed, and null sets are measurable, and measurable sets remain measurable after taking cylinders.Suggest a slogan
The following subsets of \(\RR^n\) are Lebesgue measurable:
open sets;
closed sets;
sets \(E\) with outer measure \(m_*(E) = 0\).
If \(M\subseteq\RR^n\) is Lebesgue measurable, then the cylinder \(M\times\RR\subseteq\RR^{n+1}\) is Lebesgue measurable.
Which sets are known to be measurable?