EDB — 0VG

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E8

[0VG] Let \((X,d)\) be a metric space, and let \(C⊂ X\). Show that \(C\) is totally bounded if and only if \(\overline C\) is totally bounded. (See [0V3] for the definition of totally bounded).

Solution 1

[0VH]

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  • totally bounded
  • bounded, totally
  • metric space
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