Isometry
- Tolaso J Kos
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Isometry
Let \( (X, \rho) \) be a compact space and let \( f \) be a function defined on \( X \) such that:
$$\rho(f(x), f(y)) \geq \rho(x, y) $$
Prove that all functions that obey the above equation are all isometries.
$$\rho(f(x), f(y)) \geq \rho(x, y) $$
Prove that all functions that obey the above equation are all isometries.
Imagination is much more important than knowledge.
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