Timeline for Is arbitrary union of closed balls in $\mathbb{R}^n$ Lebesgue measurable?
Current License: CC BY-SA 2.5
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| Oct 27, 2010 at 0:58 | comment | added | George Lowther | Actually, convexity is hardly required here. I think it is enough that, for each t, there is a positive c such that $\mu(S_t\cap B_r(x))\ge cr^N$ for all $x\in S_t$ and $r > 0$. The construction given for the Vitali cover shows this is true for convex sets of nonempty interior (and it is clear for balls). | |
| Oct 27, 2010 at 0:03 | history | edited | Faisal | CC BY-SA 2.5 |
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| Oct 26, 2010 at 23:45 | history | edited | Faisal | CC BY-SA 2.5 |
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| Oct 26, 2010 at 23:39 | history | edited | Faisal | CC BY-SA 2.5 |
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| Oct 26, 2010 at 23:04 | comment | added | Joel David Hamkins | It would be kind of you to summarize the argument. | |
| Oct 26, 2010 at 22:30 | history | answered | Faisal | CC BY-SA 2.5 |