EDB — 0TT

Exercises

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

   Provide a simple example of a non-compact metric space and \(T:X→ X\) a non-surjective isometry.

   Solution 1

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