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Nov 30 at 9:59 comment added Piotr Achinger @PeterMueller That's problematic since finite index subgroups might not be open if the group is not topologically finitely generated.
Nov 29 at 21:48 comment added Zerox Is "topologically finitely generated" really an algebraic property?
Nov 26 at 2:25 comment added Martin Brandenburg ... which makes sense since you just apply the notion of being finitely generated to the given category of topological groups. Adding adjectives is only required when forgetful functors are, well, forgotten (here from topological groups to groups). Anyway, great example!
Nov 19 at 9:29 history edited Piotr Achinger CC BY-SA 4.0
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Nov 19 at 9:28 comment added Piotr Achinger @Aphelli yes. In my defence, I am not the only one using "finitely generated" to mean "topologically finitely generated" in the context of pro-finite groups.
Nov 19 at 9:02 comment added Aphelli Do you maybe mean “topologically finitely generated”?
S Nov 19 at 7:52 history answered Piotr Achinger CC BY-SA 4.0
S Nov 19 at 7:52 history made wiki Post Made Community Wiki by Piotr Achinger