EDB — 1K0

Exercises

1. [1K0]Prerequisites:[1HR]↺↻,[1J3]↺↻.[${\mathcal{F}}_{vi}$ ]↺↻,[1JN]↺↻.Difficulty:**.

   Define $(X,d_{\infty })$ as in the previous exercise [1JX]↺↻. Fix now $\mathcal{F}\subseteq X$ 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

   [1K1]↺↻