Bi-Lipschitz bijections of mathbb{Z}
classification
🧮 math.MG
keywords
bi-lipschitzbijectionsmathbbactionbijectionboundedcommentdistance
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It is shown that every bi-Lipschitz bijection from $\mathbb{Z}$ to itself is at a bounded $L_{\infty}$ distance from either the identity or the reflection. We then comment on the group-theoretic properties of the action of bi-Lipschitz bijections.
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