Timeline for Does a small-area sphere in a 3-manifold bound a small ball?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Feb 28, 2014 at 13:07 | history | edited | Bruno Martelli | CC BY-SA 3.0 |
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| Feb 28, 2014 at 12:21 | answer | added | Misha | timeline score: 6 | |
| Feb 27, 2014 at 21:01 | answer | added | Sam Nead | timeline score: 10 | |
| Feb 27, 2014 at 20:46 | comment | added | Bruno Martelli | AFAIK, the isoperimetric inequality tells you that a null-homotopic small sphere bounds a small region, but that small region might not be a ball: the ball could be on the other side. This confuses me a bit. | |
| Feb 27, 2014 at 20:43 | comment | added | Ryan Budney | How about arguing this way: if the 2-sphere is null homotopic, it bounds a ball (by the Poincare conjecture). So apply an isoperimetric inequality. This reduces your question to showing the infimum of non-null homotopic $S^2$'s in a 3-manifold is not zero. | |
| Feb 27, 2014 at 19:48 | history | edited | Bruno Martelli | CC BY-SA 3.0 |
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| Feb 27, 2014 at 19:42 | history | asked | Bruno Martelli | CC BY-SA 3.0 |