Topology

   

On the Erdos-Ulam Problem in the Plane.

Authors: Theophilus Agama

In this paper we apply the method of compression to construct a dense set of points in the plane at rational distance from each other. We provide a positive solution to the Erd˝os-Ulam problem.

Comments: 8 Pages. A few technicalities resolved regarding the scale of compression and the inequality in the notion of points contained in a compression ball has been made strict. This is because the case of equality is treated separately as admissible points.

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Submission history

[v1] 2020-01-09 14:45:39
[v2] 2021-09-04 21:13:50
[v3] 2022-01-23 13:36:59

Unique-IP document downloads: 668 times

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