Timeline for Is Furstenberg's topology useful?
Current License: CC BY-SA 2.5
4 events
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Oct 23, 2010 at 4:56 | comment | added | Chandan Singh Dalawat | Sorry, I meant to say "For every $x\neq1$ in $G$" instead of "For every $x\in G$". But this lapse doesn't seem to have led to any confusion ! | |
Oct 22, 2010 at 12:52 | comment | added | Greg Kuperberg | That's true. If $X$ is a uniform space, then it does not necessarily embed into its completion either; rather it has a canonical Hausdorff quotient which embeds. | |
Oct 22, 2010 at 10:18 | comment | added | Chandan Singh Dalawat | For $G$ to embed into its profinite completion $\hat G$, it should be residually finite (for every $x\in G$, there should be a finite quotient $H_x$ of $G$ in which the image of $x$ is $\neq1$). | |
Oct 19, 2010 at 11:15 | history | answered | Greg Kuperberg | CC BY-SA 2.5 |