Math and science::Analysis::Tao, measure::02. Lebesgue measure

# Lebesgue measurable sets.

The following sets meet the criteria to be Lebesgue measurable:

1. Every [...] set is Lebesgue measurable.
2. A countable [...] of Lebesgue measurable sets is Lebesgue measurable.
3. Every [...] set is Lebesgue measurable.
4. The [c________] of a Lebesgue measurable set $$E$$ is Lebesgue measurable.
5. A countable [...] of Lebesgue measurable sets is Lebesgue measurable.

Two others are:

• Every set of Lebesgue outer measure [...] is measurable. These sets are called [...] sets.
• The empty set $$\emptyset$$ is Lebesgue measurable.

The proofs are on the reverse side, along with a repeat of the definition of Lebesgue measurability.