Timeline for A sequence of subsets of an infinite group
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jul 6, 2014 at 21:42 | comment | added | YCor | OK, but once we are reduced to finitely generated quasi-finite groups, this discussion is of little relevance. | |
| Jul 6, 2014 at 21:37 | comment | added | H. Khas | I'm not sure but if there is a sequence of neighborhoods of $1$ which make a base around $1$ in a group topology the topology must be pseudometrizible. If Hausdorff, then metrizable. | |
| Jul 6, 2014 at 21:33 | comment | added | YCor | I'm not sure what you mean by "no nondiscrete metric". What do you require about the metric? | |
| Jul 6, 2014 at 21:28 | comment | added | H. Khas |
I think it admits no nondiscrete Hausdorff topology is equivalent to it admits no nondiscrete metric. It seems such a group cannot have an infinite chain of (normal) subgroups. It suggests to me (somehow) that Hausdorffness may have a better substitution. Btw, I hope I can find a relation to Banach measure.
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| Jul 6, 2014 at 19:31 | history | answered | YCor | CC BY-SA 3.0 |