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

# The 3 basic properties of Lebesgue outer measure

Reminder that the Lebesgue outer measure is denoted as $$m^{*}$$.

### The 3 basic propositions of Lebesgue outer measure

Empty set
[...]
Monotonicity
If $$E \subseteq F \subset \mathbb{R}^d$$, then [...].
If $$E_1, E_2, ... \subset \mathbb{R}^d$$ is a countable sequence of sets, then [...]