Timeline for How do you present a non-existence theorem?
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| Jul 6, 2012 at 20:20 | comment | added | Terry Tao | Ah, yes, qi rigidity is another great example of the rigidity phenomenon in mathematics - quasi-isometries seem far too weak to preserve algebraic structure, and yet they often do to a surprising extent. For instance, an immediate corollary of Gromov's polynomial growth theorem is that any finitely generated group which is quasi-isometric to a virtually nilpotent group, is again virtually nilpotent. | |
| Jul 6, 2012 at 19:52 | comment | added | Lee Mosher | Speaking of Gromov, his program of quasi-isometric rigidity is very much like what Paul Siegel describes in his answer below, wading through the incredible thicket of finitely generated groups and trying to impose order, classify, with a verrrry far off and dim hope of eventually proving that nothing more exists. | |
| Jul 6, 2012 at 19:17 | history | edited | Terry Tao | CC BY-SA 3.0 |
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| Jul 6, 2012 at 19:11 | history | answered | Terry Tao | CC BY-SA 3.0 |