Timeline for The continuous as the limit of the discrete
Current License: CC BY-SA 2.5
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| Feb 7, 2010 at 18:52 | comment | added | Pete L. Clark | A little less abstractly, you can think of everything in sight as subgroups of the unit circle in $\mathbb{R}^2$. Then the direct limit (colimit, the categorists would say) of the groups $\mu_n$ of $n$th roots of unity is the group $\mu$ of all roots of unity, which is dense in the unit circle and therefore its completion is the unit circle. | |
| Feb 7, 2010 at 16:01 | history | answered | Harald Hanche-Olsen | CC BY-SA 2.5 |