Discrete subsets of R^2 and the associated distance sets

arxiv: math/0203162 · v1 · submitted 2002-03-15 · 🧮 math.CO · math.MG

Discrete subsets of R² and the associated distance sets

A. Iosevich , I. Laba This is my paper

classification 🧮 math.CO math.MG

keywords distanceassociateddiscreteinducedonlypolygonproveseparated

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We prove that a well-distributed subset of R^2 can have a separated distance set only if the distance is induced by a polygon.

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