If $A$ and $B$ are countable dense subsets of compact metric space $(X, d)$ with infinitely many isometries, is there isometry such that $f(a) \in B$.

score 40 · Answer 15 · 2024-01-22 00:49:28

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Showing that this embedding is isometric

Published on 22 Jan 2024 - 0:49

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If $A$ and $B$ are countable dense subsets of compact metric space $(X, d)$ with infinitely many isometries, is there isometry such that $f(a) \in B$.

Showing that this embedding is isometric

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