Timeline for Two discs with no parallel tangent planes
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 18, 2014 at 18:54 | comment | added | Anton Petrunin | I just noticed, that your proof may give a point on the common boundary curve with identical tangent planes. (To guarantee tha $L$ is tangent to $\partial\Sigma_i$ you use that tangent planes are different at each boundary point.) Do you think it is possible to guarantee that the pair in the interior of the discs? | |
| Apr 23, 2010 at 16:06 | vote | accept | Anton Petrunin | ||
| Apr 23, 2010 at 16:06 | history | bounty ended | Anton Petrunin | ||
| Mar 9, 2010 at 11:57 | comment | added | Petya | Anton, if you are hunting for monsters, then I can tell you that your question is open for cylinders (regular homotopy rel boundary). In that case a topological obstruction is zero. The existence of such monsters might be a corollary of Novikov-Khovanskii theory of convex-concave sets. I'll try to check it. | |
| Mar 8, 2010 at 18:03 | comment | added | Anton Petrunin | Thanks, I was so sure such monsters do live so did not even try prove opposite :) | |
| Mar 8, 2010 at 18:00 | vote | accept | Anton Petrunin | ||
| Apr 23, 2010 at 16:05 | |||||
| Mar 8, 2010 at 17:31 | history | answered | Steven Sivek | CC BY-SA 2.5 |