The statement is basically in the question. I know that $\mathbb{C}$ is algebraically closed and a complete metric space, which makes it a very interesting field. I was wondering if there were other fields which are algebraically closed and complete with respect to a metric. For instance, can this happen in characteristic $p$?
2026-03-28 07:51:39.1774684299
Fields that are both algebraically closed and complete with respect to a metric
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