Timeline for The continuous as the limit of the discrete
Current License: CC BY-SA 2.5
3 events
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Feb 8, 2010 at 2:34 | comment | added | Emerton | Dear Pete, Thanks; that sounds right. | |
Feb 7, 2010 at 23:47 | comment | added | Pete L. Clark | Right, but you still need to metrize the finite cyclic groups according to their embeddings into the Euclidean unit circle, i.e., so that the minimum distance between distinct points approaches $0$ as $n$ approaches infinity. So the "Gromov" part of Gromov-Hausdorff doesn't seem to be buying us anything here: you could just say that $\mu_n$ converges to $S^1$ in the Hausdorff metric on compact subsets of $\mathbb{R}^2$. | |
Feb 7, 2010 at 20:55 | history | answered | Emerton | CC BY-SA 2.5 |