EDB — 0VJ

Exercises

1. [0VJ] Prerequisites:[0QZ]↺↻,[0VS]↺↻.Difficulty:*.

   Let \((X,d)\) be a metric space such that every continuous function \(f:X→ℝ\) has maximum: show that the space is compact.

   (See [0TD]↺↻ for a rewording with \(X=ℝ^ n\).) [ [0VK]↺↻]

   Solution 1

   [0VM]↺↻