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7. Exterior measurements
The notion of external measure is a concept, due to C. Carathéodory (1918), which generalizes in an axiomatic framework a construction used preliminarily by H. Lebesgue (1902) to define the Lebesgue measure.
7.1 External measurement
Definition (outer measure) (Carathéodory, 1918). An exterior measure on
, denoted µ*, is a monotone, countably subadditive application...
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Exterior measurements
The n-dimensional Lebesgue measure
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