EDB — 0TT

Exercises

1. [0TT]Topics:isometry. Difficulty:*.Let $(X,d)$ be a compact metric space; let $T:X\to X$ be an isometry, then $T$ is surjective.

   Provide a simple example of a non-compact metric space and $T:X\to X$ a non-surjective isometry.

   Solution 1

   [0TV]↺↻