Timeline for Analogues of Luzin's theorem
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Nov 9, 2010 at 20:18 | comment | added | Anonymous | Vaughn - subsets of the unit interval with Hausdorff dimension greater than $1-\epsilon$ can still be very small (for a suitable meaning of "small"), so it does seem reasonable that your question is true in that case. I'm not sure about a proof though. | |
| Nov 9, 2010 at 19:48 | vote | accept | Vaughn Climenhaga | ||
| Nov 9, 2010 at 19:48 | comment | added | Vaughn Climenhaga | Very nice argument! I'm still quite curious about the other version of the question (whether you can gain Holder continuity on a set of large Hausdorff dimension), but this puts to rest any hope of a measure-theoretic analogue. | |
| Nov 9, 2010 at 17:00 | history | edited | Anonymous | CC BY-SA 2.5 |
fixed grammar
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| Nov 9, 2010 at 16:42 | history | answered | Anonymous | CC BY-SA 2.5 |