EDB — 0NQ

Exercises

1. [0NQ] Note:Exercise 2, written exam, 25 March 2017.

   Show that the following properties are equivalent for a metric space \(X\):

   • every sequence of elements of \(X\) admits a Cauchy subsequence;

   • The completion \(X^*\) of \(X\) is compact.

   Solution 1

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