5
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Here is the following exercise:

Let $G$ be an abelian topological group. $G$ has a countable topological basis iff its dual $\hat G$ has one.

I am running into difficulties with the compact-open topology while trying this. Any help?

  • 0
    Are you sure $G$ is not supposed to be locally compact ?2011-09-22
  • 0
    Yes, locally compact, and even compact if you want.2011-09-23

1 Answers 1