- #1

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## Homework Statement

Let (K, d) and (K', d') be two compact metric spaces and let f:K-->K' and g:K'--->K be isometries. Show that f(K)=K' and g(K')=K

## Homework Equations

n/a

## The Attempt at a Solution

I know that isometry implies that I can find one-to-one correspondence mapping, but not sure how to show both function and inverse function are subjective. Please help. Thanks!