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 $m^{*}$ .

Empty set: [...]
Monotonicity: If $E \subseteq F \subset R^{d}$ , then [...].
Countable subadditivity: If $E_{1}, E_{2}, . . . \subset R^{d}$ is a countable sequence of sets, then [...]

These three ideas are very fundamental. The complex apprearance of the expressions obscures the simplicity of the ideas.

13.06.2020