EDB — 14P

[14P]Prerequisites:[0S6]↺↻.Difficulty:*.

Let \(C⊂ℝ\) be a closed set, and let \(f:C→ ℝ\) be continuous function. Show that there exists \(g:ℝ →ℝ\) continuous and extending \(f\), i.e. \(g_{|_ C}=f\).