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?
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?