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Jul 15, 2016 at 16:36 comment added Misha Scott: Countability follows from countability of the set of finite groups, compact connected Lie groups plus Eilenberg's theory of extensions with noncommutative kernel explained for instance in Ken Brown's book. It boils down to the claim that given a compact abelian Lie group $A$ and a finite group $G$, the group $H^2(G,A)$ is (at most) countable.
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S Jul 15, 2016 at 13:25 history answered Scot Adams CC BY-SA 3.0
S Jul 15, 2016 at 13:25 history made wiki Post Made Community Wiki by Scot Adams