Math and science::Analysis::Tao, measure::01. Jordan measure
Closures, interiors and Jordan measure
![](IMG_2973.jpg)
- Proof outline: see other side
- Proof outline: see other side
- Proof outline: see other side
- [Proof outline]
(4), shows that Jordan outer measure (and inner measure) do not possess finite additivity for non-measurable sets. For the outer measure case, the question of what conditions might be needed to imply fintie additivity is partially answered by the Caratheodory type property.