EDB — 0TD

Exercises

1. [0TD] Let $E\subseteq {ℝ}^n$ be not empty and such that every continuous function $f:E\to ℝ$ admits maximum: show that $E$ is compact.

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

   Solution 1

   [0TF]↺↻