EDB — 0V4

Exercises

1. [0V4]Setting \(X=ℝ^ n\) and \(d\) the usual Euclidean distance, taken \(C⊆ ℝ^ n\), use the above theorem [0V3]↺↻ to show (as a corollary) the usual Heine-Borel theorem [ 48 ] : \(C\) is compact if and only if it is closed and bounded.

   Solution 1

   [0V5]↺↻