(i) Show that non-void open sets in (mathbb{R}) (resp. (mathbb{R}^{n}) ) have always strictly positive Lebesgue measure....

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(i) Show that non-void open sets in $\mathbb{R}$ (resp. $\mathbb{R}^{n}$ ) have always strictly positive Lebesgue measure.

[let $U$ be open. Find a small ball in $U$ and inscribe a square.]

(ii) Does your answer to part (i) hold also for closed sets?

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Measures Integrals And Martingales

ISBN: 9781316620243

2nd Edition

Authors: René L. Schilling

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Question Posted: Jan 23, 2024 10:01 AM

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(i) Show that non-void open sets in (mathbb{R}) (resp. (mathbb{R}^{n}) ) have always strictly positive Lebesgue measure....

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i ii A little geometry first a solid open disk ...View the full answer

Measures Integrals And Martingales

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