Timeline for Does the Lebesgue measure induce a finitely additive measure on the Boolean algebra of regular open subsets of (0,1)?
Current License: CC BY-SA 3.0
6 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jul 7, 2016 at 5:37 | vote | accept | Marcus Pivato | ||
| Jul 6, 2016 at 14:01 | answer | added | Joel David Hamkins | timeline score: 7 | |
| Jul 6, 2016 at 11:16 | comment | added | Marcus Pivato | Hi Joel. I agree ---this was the reason for "Remark (4)" above. | |
| Jul 6, 2016 at 11:07 | comment | added | Joel David Hamkins | One should mention that the induced measure is definitely not countably additive, because one can have an open dense set in the unit interval of arbitrarily small Lebesgue measure --- place an interval of size $\epsilon/2^n$ about the $n^{th}$ rational. The join of these intervals is the whole interval, since it is dense, but the measures of the finite joins is bounded by $\epsilon$. | |
| Jul 6, 2016 at 8:51 | history | asked | Marcus Pivato | CC BY-SA 3.0 |