EDB — 0TQ

Exercises

1. [0TQ]If \((M_ 1,d_ 1)\) is complete then its image \(𝜑(M_ 1)\) is a complete set in \(M_ 2\); and therefore it is a closed in \(M_ 2\).

   Solution 1

   [0TR]↺↻

   Consequently, if the isometry \(𝜑\) is bijective and one of the two spaces is complete then the other is also complete.

   [ [0TS]↺↻]