Closed balls are closed – math.stackexchange.com

Closed balls are closed – math.stackexchange.com

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Let $E \subset X, p \in X$ and $(X,d)$ a metric space such that $E := \{q \in X\mid d(p,q) \leq r\}$. By definition, this is a closed ball with center $p$ and radius $r$. I now want to show that this ...

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