Exercises
[1K0]Prerequisites:[1HR],[1J3].[\( \symcal F_{vi}\) ],[1JN].Difficulty:**.
Define \((X,d_∞)\) as in the previous exercise [1JX]. Fix now \({\mathcal F}⊆ X\) a family of functions, suppose \({\mathcal F}\) is totally bounded (as defined in [0V3]): Show then that the family \({\mathcal F}\) is equicontinuous.
Solution 1