EDB — 15J

Exercises

1. [15J] Prerequisites:[15F]↺↻.Let \(A⊂ ℝ^ n\) be bounded and \(f:A→ℝ\) a continuous function. Show that \(f\) is uniformly continuous if and only there exists a continuous function \(g:\overline A→ ℝ\) extending \(f\); In addition, the extension \(g\) is unique.

   Solution 1

   [15K]↺↻