This seems trivial but how would you prove that an open and bounded set, G, has finite lebesgue measure.
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1It's contained in a large enough hypercube. – Daniel Fischer Nov 20 '13 at 15:36
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Let Q be a hypercube large enough that your set A fits nicely inside Q. Then $\mu(A) \leq \mu (Q)$.
Peter Halburt
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