Let $(G,\mathcal T)$ be an infinite abelian group and $\Bbb T$ be the circle group. Why there are infinitely many continuous homorphisms $f:G\to \Bbb T$?
Is there a simple proof without using Pontryagin-Van Kampen theorem?
2026-03-30 01:51:36.1774835496
There are infinitely many continuous characters on an infinite abelian topological group
82 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in TOPOLOGICAL-GROUPS
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