Talk:Gromov's theorem on groups of polynomial growth
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NB current overlap with Growth rate (group theory).
Charles Matthews 21:21, 4 May 2004 (UTC)
I did a search for Gromov, nothing showed up
I dunno --delete it, join it CSTAR
Actually, I was planning saying something about proofs at some point, so maybe deletion isn't a good idea. CSTAR
Strange name
editIt is really strange to give such a name for theorem, something should be specified, there are 100s of theorems which can be called Gromov's theorem, this can be only disamb. page... Tosha 00:50, 6 May 2004 (UTC)
Maybe
editTrue... Maybe should have specifically called it Gromov's theorem on groups of polynomial growth. But probably most references to Gromov's theroem are to this theorem. But I don't at this point deletion of this page is a good idea CSTAR Wed May 5 20:17:56 CDT 2004
More theorems of Gromov would be excellent. But this one is famous (well, I knew it, as a non-specialist). Charles Matthews 05:42, 6 May 2004 (UTC)
Found him...
editThe Gromov in question appears to be Misha Gromov at IHES, the Institut des Hautes Études Scientifiques in Bures-sur-Yvette: http://www.ihes.fr/~gromov/ a.k.a. Michael Gromov —Preceding unsigned comment added by 213.253.40.226 (talk • contribs)
I put Mikhail (as the most standard one) Michael is french (?) and Misha is nickname Tosha 20:18, 13 Jun 2004 (UTC)
Metric or convergence
editIn the proof he deals with non compact spaces, and there is no GH-metric in this case. (I'm not sure, he might use Lipschitz-Hausdorff distance??, but anyway this notion is not as popular now) In addition GH-metric is described in GH-convergence, so it should point there...
Tosha 13:49, 14 Jun 2004 (UTC)
In fact there is a notion of GH-distance for "pointed" metric spaces, when they are not compact. As it often happens with fundamental groups though (which are defined for pointed topological spaces) the specification for of the point is often omitted. — Preceding unsigned comment added by 31.191.173.68 (talk) 17:10, 20 January 2023 (UTC)