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Suppose x d metric space has infinitely many distinct

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Reference no: EM13583841

1- Let (X,d) metric space and f:X --> X ISOMETRY WITH f[X]is dense in X prove f is homomorphism.

2- Suppose (X ,d) metric space has infinitely many distinct connected components. Is it possible (X,d) compact ? if yes ,give an example if no provide proof?

Reference no: EM13583841

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