A metric space \((M, d)\) is totally bounded if for every \(\eps > 0\) there are finitely many open balls of radius \(\eps\) whose union is \(M\) [@Mun00].
What does it mean for a metric space to be totally bounded?
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A metric space \((M, d)\) is totally bounded if for every \(\eps > 0\) there are finitely many open balls of radius \(\eps\) whose union is \(M\) [@Mun00].