EDB — 0TD

Exercises

1. [0TD] Let \(E⊆ ℝ^ n\) be not empty and such that every continuous function \(f:E→ℝ\) admits maximum: show that \(E\) is compact.

   (See [0VJ]↺↻ for generalization to metric spaces)

   Solution 1

   [0TF]↺↻