Timeline for On the uncountability of zero sets
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 21, 2011 at 15:11 | vote | accept | Tom LaGatta | ||
| Dec 20, 2011 at 23:08 | comment | added | Joel David Hamkins | Sure, I'll send you an email. | |
| Dec 20, 2011 at 23:05 | comment | added | Tom LaGatta | Yeah, as soon as you mentioned the counterexample I saw how it extends to $C^{\infty}$ for this reason. I had no idea you were at NYU this semester! I have a pretty busy week then I'm flying out Friday, but I'll be back at the beginning of next semester. You'll still be in NYC then I presume? Want to meet up for lunch on Wednesday January 25? | |
| Dec 20, 2011 at 22:35 | comment | added | Joel David Hamkins | It appears you can make it $C^\infty$ with suitable smoothing---the original distance function looks like a bunch of little triangles with slope $1$ resting on the omitted middle thirds of the Cantor set, and one needs only to smooth out the corners on these triangles. (And hey, I notice were both at NYU; I'm in the Philosophy department there this semester.) | |
| Dec 20, 2011 at 22:22 | comment | added | Tom LaGatta | Hi Joel, thanks for the very elegant counterexample. | |
| Dec 20, 2011 at 22:17 | history | answered | Joel David Hamkins | CC BY-SA 3.0 |