Timeline for A set of positive measure with cardinality less than that of the continuum?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 25, 2013 at 18:32 | comment | added | Alexander Pruss | I wonder now: Is it consistent with ZFC that there is a translation-invariant extension of Lebesgue measure that assigns non-zero measure to some set of cardinality less than the continuum? Maybe I should make that a separate question. | |
| Mar 25, 2013 at 16:45 | comment | added | Yemon Choi | @Bill, in fairness, not in everyone's course on measure theory (although perhaps I just didn't do that particular homework exercise that week) | |
| Mar 25, 2013 at 15:34 | comment | added | Bill Johnson | Inner regularity of Lebesgue measure implies that every set with positive measure has a Cantor subset of positive measure. This is contained in undergraduate courses in real analysis, so I vote to close. | |
| Mar 25, 2013 at 14:46 | vote | accept | Alexander Pruss | ||
| Mar 25, 2013 at 14:44 | answer | added | Sean Eberhard | timeline score: 18 | |
| Mar 25, 2013 at 14:37 | history | asked | Alexander Pruss | CC BY-SA 3.0 |