It is a fact that Lebesgue measure is characterised uniquely by the five requirements:(adsbygoogle = window.adsbygoogle || []).push({});

1 - measure of empty set = 0

2 - monotonicity

3 - measure = length for intervals

4 - translation invariance

5 - countable additivity

It is also true that Lebesgue outer measure satisfies:

1 - measure of empty set = 0

2 - monotonicity

3 - measure = length for intervals

4 - translation invariance

5 - countablesubadditivity

but I'm dying to know whether these requirements actuallycharacteriseLebesgue outer measureuniquely.

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# Lebesgue Outer Measure

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