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(IMT 1.1.19 – a Carath´eodory type property). Let E ⊆ R^d be a bounded set, and...

(IMT 1.1.19 – a Carath´eodory type property). Let E ⊆ R^d be a bounded set, and let F ⊆ R^d be an elementary set. Show that m^{∗,J} (E) = m^{∗,J} (E ∩ F) + m^{∗,J} (E \ F).

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